Question #05dd5 Calculus Basic Differentiation Rules Summary of Differentiation Rules 1 Answer Ratnesh Bhosale Mar 11, 2017 #a=3# Explanation: #f(x)= (ax^2-1)(3+2x)# #f(x)= 3ax^2+2ax^3-3-2x# #f(x)= 2ax^3+3ax^2 -2x-3# By Differentiating, #f'(x) = 6ax^2 +6ax-2# Put #x=1# #f'(1) = 12a-2# #34 = 12a-2# #12a = 36# #a=3# Answer link Related questions What is a summary of Differentiation Rules? What are the first three derivatives of #(xcos(x)-sin(x))/(x^2)#? How do you find the derivative of #(e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))#? How do I find the derivative of #y= x arctan (2x) - (ln (1+4x^2))/4#? How do you find the derivative of #y = s/3 + 5s#? What is the second derivative of #(f * g)(x)# if f and g are functions such that #f'(x)=g(x)#... How do you calculate the derivative for #g(t)= 7/sqrtt#? Can you use a calculator to differentiate #f(x) = 3x^2 + 12#? What is the derivative of #ln(x)+ 3 ln(x) + 5/7x +(2/x)#? How do you find the formula for the derivative of #1/x#? See all questions in Summary of Differentiation Rules Impact of this question 1457 views around the world You can reuse this answer Creative Commons License