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Popular >

derivative of-10sin(10x-cos(10x))

Solution

\frac{d}{d x} (- 10 sin (10 x) - cos (10 x))

Solution

- 100 cos (10 x) + 10 sin (10 x)

Solution steps

\frac{d}{d x} (- 10 sin (10 x) - cos (10 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (10 sin (10 x)) - \frac{d}{d x} (cos (10 x))

\frac{d}{d x} (10 sin (10 x)) = 100 cos (10 x)

\frac{d}{d x} (cos (10 x)) = - sin (10 x) \cdot 10

= - 100 cos (10 x) - (- sin (10 x) \cdot 10)

Simplify

= - 100 cos (10 x) + 10 sin (10 x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of-10sin(10x-cos(10x)) ?
The derivative of-10sin(10x-cos(10x)) is -100cos(10x)+10sin(10x)
What is the first derivative of-10sin(10x-cos(10x)) ?
The first derivative of-10sin(10x-cos(10x)) is -100cos(10x)+10sin(10x)