Find the Derivative - d/dx f(x)=sin(5x)

Problem

d(sin(5*x))/d(x)

Solution

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

2. Differentiate the outer function, sin(u) which results in cos(u)

3. Differentiate the inner function, 5*x which results in 5

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

5. Simplify the resulting expression by moving the constant to the front.

Final Answer

d(sin(5*x))/d(x)=5*cos(5*x)

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