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How do you evaluate $\frac{d}{d x} \int_{x}^{x^{4}} \sqrt{t^{2} + t} d t$ $d /dx \int_[x]^{x^4} sqrt{t^2+t} dt$ ?
Question #1561c
A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from each corner and folding up the four edges. What will be the dimensions of the box with the largest volume?
How do you differentiate the equation? $F (y) = (\frac{1}{y^{2}} + \frac{3}{y^{4}}) (y + 5 y^{3})$ $F(y)= (1/y^2 + 3/y^4) (y+5y^3)$
How do you solve $\int_{0}^{2} x^{4} + 5 x d x$ $int_0^2 x^4+5x dx$ ?
Build a rectangular pen with three parallel partitions (meaning 4 total sections) using 500 feet of fencing. What dimensions will maximize the total area of the pen?
What is the equation of the tangent line and normal line to y = 2x $e^{x}$ $e^x$ at (0, 0)?
How do I evaluate $\frac{d}{d x} \int_{5}^{x^{4}} \sqrt{t^{2} + t} d t$ $d/dx \int_5^(x^4) \sqrt{t^2 + t} dt$ ?
On what interval is f concave upward? f(x)=xln(x)
A farmer w/ 750ft of fencing wants to enclose a rectangular area then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?
A piece of wire 60 cm in length is cut into two pieces. The first piece forms a rectangle 5 times as wide as it is long. The second piece forms a square. Where should the wire be cut to? 1)minimize the total area 2)maximize the total area
A box with an open to is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. find the largest volume that such a box can have?
How do I graph the rational function: $y = - \frac{6}{x} + 4$ $y=-6/x+4$ ?
Given information about the fill and empty rate, how do I find the volume after t minutes?
How do you differentiate the equation?
What is the equation of the tangent line to the curve y = 2xsin(x) at point (pi/2, pi)?
Construct a box whose base length is 3 times the base width. The material used to build the top and bottom cost $10/ft2 and the material used to build the sides cost $6/ft2. Volume of the box is 50 ft3, what are the dimensions that will MINIMIZE the Cost?
How do you differentiate the given function? F(y) = ( $\frac{1}{y^{2}}$ $1/y^2$ - $\frac{3}{y^{4}}$ $3/y^4$ )(y + 5y^3)
How do you solve the AP Calculus AB 2013 Free Response question #2? http://media.collegeboard.com/digitalServices/pdf/ap/apcentral/ap13_frq_calculus_ab.pdf
Find the equation of the tangent line to the curve at the given point?
On what interval is the function f (x) = x^3 e^x increasing?
Hw do you prove that the d/dx (secx) = sec x tan x ?
Find points on the curve y={2x^3+3x^2-12x+1} where the tangent is horizontal?
How do I graph the function: $y = \frac{2 x}{x^{2} - 1}$ $y=(2x)/(x^2-1)$ ?
What is the derivative of $y = \frac{x^{2} + 4 x + 3}{\sqrt{x}}$ $y = (x^2+4x+3)/sqrtx$ ?
Find all points where the tangent line is horizontal: $x^{2} + x y + y^{2} = 1$ $x^2+xy+y^2=1$ ?
How do you differentiate $f (x) = (x^{- 2} + 5 x) (x^{3} + 4)$ $f(x)=(x^-2+5x)(x^3+4)$ using the product rule?