Find the Derivative - d/dx (x^2+1)^5

Problem

d(x2+1)/d(x)

Solution

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

2. Apply the Power Rule to the outer function, which is u5 where u=x2+1

3. Differentiate the inner function x2+1 with respect to x

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

5. Simplify the resulting expression by multiplying the constants and terms.

Final Answer

d(x2+1)/d(x)=10*x*(x2+1)4

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