Differentiation of Exponential Functions

Question

f(x) = 3e^x − x^2

Answer 1

f(x) = 3e^x - x²

 

The derivative of a sum is the sum of the derivatives.  Hence:

 

d(3e^x-x²)/dx = d(3e^x)/dx - d(x²)/dx = 3e^x - 2x