Find the Derivative - d/dx y=(2x-1)^4

Problem

d()/d(x)*(2*x−1)4

Solution

1. Identify the outer function and the inner function to apply the Chain Rule. The outer function is u4 and the inner function is u=2*x−1

2. Apply the Power Rule to the outer function by bringing the exponent to the front and subtracting one from the exponent.

d()/d(x)*(2*x−1)4=4*(2*x−1)3⋅d(2*x−1)/d(x)

3. Differentiate the inner function 2*x−1 with respect to x

d(2*x−1)/d(x)=2

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

4*(2*x−1)3⋅2

5. Simplify the expression by multiplying the constants.

8*(2*x−1)3

Final Answer

d()/d(x)*(2*x−1)4=8*(2*x−1)3

Want more problems? Check here!