f(x)=4xcos(5x)

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Solution for f(x)=4xcos(5x) equation: 


Simplifying
f(x) = 4xcos(5x)

Multiply f * x
fx = 4xcos(5x)

Remove parenthesis around (5x)
fx = 4cosx * 5x

Reorder the terms for easier multiplication:
fx = 4 * 5cosx * x

Multiply 4 * 5
fx = 20cosx * x

Multiply cosx * x
fx = 20cosx2

Solving
fx = 20cosx2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = 20cosx

Simplifying
f = 20cosx

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