Find the derivative of the function . Simplify and express the answer using positive exponents only.

Question

Find the derivative of the function  . Simplify and express the answer using positive exponents only. ​

Quizplus · Accepted Answer

The derivative of a constant times an exponential function is the constant multiplied by the exponential function. The derivative of 11 is 0. The derivative of e^(-x^3 + 5x) is (-3x^2+5)e^(-x^3+5x). Therefore, the derivative of the given function is 0 + (-5)(-3x^2+5)e^(-x^3+5x) = 15x^2-25e^(-x^3+5x). Simplifying the exponent, we get 11eb0d3b_9850_b666_9790_752f81a26fb0_TB1243_11.

Find the Derivative of the Function