Find the Derivative - d/dx y=e^((7x)/8)

Problem

d()/d(x)*e(7*x)/8

Solution

1. Identify the rule needed for the derivative of an exponential function with a composite exponent, which is the chain rule.

2. Apply the chain rule by taking the derivative of the outer function eu and multiplying it by the derivative of the inner function u=(7*x)/8

3. Differentiate the inner function (7*x)/8 with respect to x which results in the constant 7/8

4. Multiply the results to find the final derivative.

Final Answer

d(e(7*x)/8)/d(x)=7/8*e(7*x)/8

Want more problems? Check here!