Find the Derivative - d/dx y=(2x^3+9x)^5

Problem

d()/d(x)*(2*x3+9*x)5

Solution

1. Identify the outer function and the inner function to apply the Chain Rule.

2. Apply the Chain Rule by taking the derivative of the outer function u5 with respect to u where u=2*x3+9*x

3. Differentiate the inner function 2*x3+9*x with respect to x

4. Multiply the derivative of the outer function by the derivative of the inner function.

5. Simplify the resulting expression.

Final Answer

d(2*x3+9*x)/d(x)=5*(2*x3+9*x)4*(6*x2+9)

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