What is (\partial)/(\partial x)(cos(5x)) ?

The answer to (\partial)/(\partial x)(cos(5x)) is -sin(5x)*5

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(\partial)/(\partial x)(cos(5x))

\frac{\partial}{\partial x} (cos (5 x))

- sin (5 x) \cdot 5

Solution steps

\frac{\partial}{\partial x} (cos (5 x))

Apply the chain rule:

- sin (5 x) \frac{\partial}{\partial x} (5 x)

= - sin (5 x) \frac{\partial}{\partial x} (5 x)

\frac{\partial}{\partial x} (5 x) = 5

= - sin (5 x) \cdot 5

f (x) = (8 x + 9) (9 x - 10)

\frac{d}{d x} (7 (cos (x^{2}) - 2 x^{2} sin (x^{2})))

f (x) = x^{2} 2^{x}

\int \frac{5}{x ^{2} + 4 x - 1} d x

\int \frac{1}{x ( x ^{2} + 1 )} d x

What is (\partial)/(\partial x)(cos(5x)) ?
The answer to (\partial)/(\partial x)(cos(5x)) is -sin(5x)*5