Answers created by Guilherme N.

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• How do you find the derivative of #f(x)=sqrt(169-x^2)#?
  
• How does Stalin justity the USSR's signing of the nonaggression pact with Hitler?
  
• How do you find the derivative of # ln(x+1)#?
  
• How do you find the first and second derivative of #ln(ln x^2)#?
  
• How do I find the derivative of #f(x) = ln sqrt ((2x-8 )/ (3x+3))#?
  
• What is the derivative of #2x^3#?
  
• How do you differentiate #g(x) = [1 + sin(2x)]/[1 - sin(2x)] # using the product rule?
  
• How do I find the derivative of # (ln x)^(1/2)#?
  
• What is the derivative of #[lnx]^8#?
  
• How do you differentiate #f(x)= ln(sin(x^2-x)) #?
  
• How do you factor the expression #x^3+121x#?
  
• How do you differentiate #f(x)= (3x^2-5x+2)/ (x+1 )# using the quotient rule?
  
• What are the first and second derivatives of # g(x) =ln(arctanx)-arctan(lnx)#?
  
• If #f(x)= sec2 x # and #g(x) = -x^2 -1 #, how do you differentiate #f(g(x)) # using the chain rule?
  
• How do you differentiate #f(x) = sqrt[ (3 x + 1) / (5 x^2 + 1)# using the chain rule?
  
• How do you differentiate #y=x²(2x+5)³#?
  
• What is the second derivative of #f(x)= ln sqrt(xe^x)#?
  
• How does one calculate the real GDP for two (2) goods and services?
  
• Why are expectations of future inflation important to the economy?
  
• How do you find the derivative for #f(x) = (3 + 4x) /( 1 + x^2)#?
  
• What is the derivative of #f(x)=-2x^-3+x^2-7#?
  
• How do you differentiate #f(x)= ( x - x tanx )/ (x -3) # using the quotient rule?
  
• How do you differentiate #f(x)=(lnx+x)(1+e^x)# using the product rule?
  
• How do you differentiate #g(u) =(u^-2 + u^3)(u^5 - u^-2) # using the product rule?
  
• How do you differentiate #g(z) = z^2cos(2-z)# using the product rule?
  
• How do you write a variable expression for the word phrase "the sum of 9 and a number"?
  
• How do you differentiate #f(x)=(x^2+sinx)(e^x-2x)# using the product rule?
  
• How do you calculate income elasticity of demand?
  
• How do you differentiate # g(x) = sqrt(arc csc(x^3+1) #?
  
• What dilemma does stagflation present to fiscal and monetary policy makers?
  
• What is the derivative of # sin(2x)ln(x^2) #?
  
• How do you find the derivative of #ln(sqrt(sin(2x)))#?
  
• How do you factor the trinomial #x^2+6x+8#?
  
• How do you differentiate #f(t)=1/(t^(-1/2))# using the chain rule?
  
• Who was in the triple Entente?
  
• What is #(pi)/8 # radians in degrees?
  
• How do I find the derivative of #f(x)=ln (x^3+3)#?
  
• How do I find the derivative of #y=ln((x^2)+1)#?
  
• What are the first and second derivatives of # g(x) = 7x^(1/2) + e^(6x)ln(x)#?
  
• What are the first and second derivatives of #f(x)=ln(ln(ln(8x))) #?
  
• How do I find the derivative of #y= ln(1 + e^(2x)) #?
  
• A computer is worth $2000 when it is new. After each year it is worth half what it was the previous year. What will its worth be after 5 years?
  
• How do you differentiate #f(x)=1/(sqrt(x-3)# using the chain rule?
  
• How do you differentiate #f(x)=x/(2x-2)-2/(2x-2)# using the quotient rule?
  
• How can price discrimination benefit both consumers and producers?
  
• Why is considered to be a "natural rate" of unemployment?
  
• What are the intercepts of #-8y+4x=9#?
  
• How do you differentiate #g(y) =(x^3 + x)(4x^2+5) # using the product rule?
  
• What are the first and second derivatives of #f(x)=5^((x^5)-9x)#?
  
• How do I find the derivative of #ln(5x)#?
  
• What does discretionary fiscal policy refer to?
  
• Why does collective bargaining increase the bargaining power of workers?
  
• How do you differentiate # y =cos(3sqrtx+7) # using the chain rule?
  
• How do you differentiate #f(x)=(x+1)(x+2)(x+3)# using the product rule?
  
• What is the derivative of #ln(z^2/(z+1))#?
  
• How do you find the derivative of the function #g(t) = 1/t^(1/2)#?
  
• How do you differentiate #f(x)=(x^2+4x)*(x^3+2x+1)# using the product rule?
  
• How do you differentiate # y =1/sqrtln(x^2-3x)# using the chain rule?
  
• How does fiscal policy differ from monetary policy?
  
• What is the antiderivative of a constant?
  
• How do you write 0.0009231 in scientific notation?
  
• What are the first and second derivatives of #f(x)=ln(1-x)^(3/2) #?
  
• What is the derivative of #f(x)=(x^2-4)ln(x^3/3-4x)#?
  
• How do you differentiate #f(x)= ln(sin(x^2)/x) #?
  
• What is the derivative of #f(x)=(x-1)^2/ln(1/x)^2#?
  
• How do you factor the trinomial #x^2 + 4x - 32 #?
  
• What are the first, second, and third order partial derivatives of #f(x,y,z)=ln(xyx)#?
  
• How do you differentiate #f(x)= x/sqrt(1-x^2) # using the quotient rule?
  
• What is the derivative of #(lnx)^2#?
  
• If the marginal propensity to consume is .9, then what is the marginal propensity to save?
  
• How do you solve #log_7 12 = x#?
  
• What is the derivative of #ln(ln(lnx))#?
  
• How do you differentiate #f(x)= sqrt (ln(1/x)/x^2#?
  
• How do you differentiate #f(x) =(1+2x)/(-x^2+1)# using the quotient rule?
  
• How do you simplify #(-1)^(-1/8)#?
  
• How does marginal utility explain volume based discounts?
  
• What are the first and second derivatives of #f(x)=ln (6^x)#?
  
• How do you differentiate #f(x)=csc(ln(1-e^x)) # using the chain rule?
  
• Why don't indifference curves intersect?
  
• How do you find the derivative of the function #f(x) = x + x^(1/2)#?
  
• What is the derivative of #f(x)=(1/x+lnx)^2#?
  
• What is the derivative of #ln(1/x)#?
  
• What are the first and second derivatives of #f(x)=2ln(sqrt((4x-4)/(6x+10))) #?
  
• How do I find the derivative of #ln sqrt(x^2-4)#?
  
• What is the derivative of #sin^2(lnx)#?
  
• How can economies of scale help create a monopoly?
  
• How do you differentiate #y = (x) / (x+1)#?
  
• What is the mathematical formula for price elasticity of supply?
  
• How do you differentiate #f(x)=sqrtsin(2-4x) # using the chain rule?
  
• What is the derivative of # lnx/(4x^2)#?
  
• How do I find the derivative of #lnroot3(4x-5)((3x+8)^2)#?
  
• What is the derivative of #lnx / x#?
  
• What are the first and second derivatives of #f(x)=-3x^5lnx #?
  
• What is the derivative of #(lnx)^(3x)#?
  
• What is the derivative of #(ln(x))^x#?
  
• What are the first and second derivatives of #f(x)=x^8*ln(x)#?
  
• How do you differentiate #f(x)= ln(x^2-x)#?
  
• What are the first and second derivatives of # g(x) = lnsinx#?
  
• How do I find the derivative of #y= x^(2x+1)#?
  
• How do you differentiate #e^x/(x-1)# using the quotient rule?
  
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