What is the derivative of # e^(x^3)+log_5(pi)#? Calculus Differentiating Logarithmic Functions Overview of Different Functions 1 Answer Hammer Mar 3, 2018 #d/dx e^(x^3) + log_5(pi) = 3x^2e^(x^3) # Explanation: The #log_5 (pi)# is a constant, so the derivative of the function can be turned down to a simpler #d/dx e^(x^3)#. Let #y# be equal to #e^(x^3)#. Take the natural logarithm of both sides. #ln y = x^3 *ln e# #ln y= x^3# Differentiate both : #dy/dx 1/y = 3x^2# #dy/dx = y*3x^2 = 3x^2e^(x^3)#, so #color(blue)(d/dx e^(x^3) + log_5(pi) = 3x^2e^(x^3))#. Answer link Related questions How do you find the derivative of #y=sin2x+cos2x+ln(ex)#? What is the derivative of #y= e^(3x/4)#? What is the derivative of #y= 2x^4 - 2x^3 - 8#? What is the derivative of #y=ln[x/(2x+3)]^(1/2)#? What is the derivative of #ln(x^2)#? What is the derivative of #1/logx#? Question #b5198 Question #09fd4 Question #56c3f See all questions in Overview of Different Functions Impact of this question 3684 views around the world You can reuse this answer Creative Commons License