Hi Guys, can you explain a simple rule when finding the derivatives on exponential functions please?
Find the Deriviative:
Use the product rule, then simplfy.
g'(x)=(x^2)'(e^4x^3) + (x^2)(e^4x^3)'
g'(x)= (2x)(e^4x^3) + (x^2)(e^4x^3)(12x^2)
I understand this completely, except for the 12X^2 in the second step. In this situation, why does the derivative of the exponential function e^4x^3 become part of the base and not e^12x^2?
I think this may solve the many problems I'm having with natural logarithms and exponential functions, staring at the function doesn't work anymore
So we cannot fully use the chain rule when Euler's constant is a base? Is this because Euler's Constant is not considered a positive constant?
So for example, we will never see:
I apologize if this is breaking the forum rule for posting two questions within one topic.