Find the Derivative - d/d@VAR f(x)=sin(pix)

Problem

d(sin(π*x))/d(x)

Solution

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

2. Apply the Chain Rule by differentiating the outer function sin(u) with respect to u where u=π*x

3. Differentiate the inner function π*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(sin(π*x))/d(x)=π*cos(π*x)

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