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Popular >

derivative of 10sin(2x+15cos(2x)+100)

Solution

\frac{d}{d x} (10 sin (2 x) + 15 cos (2 x) + 100)

Solution

20 cos (2 x) - 30 sin (2 x)

Solution steps

\frac{d}{d x} (10 sin (2 x) + 15 cos (2 x) + 100)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 sin (2 x)) + \frac{d}{d x} (15 cos (2 x)) + \frac{d}{d x} (100)

\frac{d}{d x} (10 sin (2 x)) = 20 cos (2 x)

\frac{d}{d x} (15 cos (2 x)) = - 30 sin (2 x)

\frac{d}{d x} (100) = 0

= 20 cos (2 x) - 30 sin (2 x) + 0

Simplify

= 20 cos (2 x) - 30 sin (2 x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 10sin(2x+15cos(2x)+100) ?
The derivative of 10sin(2x+15cos(2x)+100) is 20cos(2x)-30sin(2x)
What is the first derivative of 10sin(2x+15cos(2x)+100) ?
The first derivative of 10sin(2x+15cos(2x)+100) is 20cos(2x)-30sin(2x)