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Popular Calculus >

derivative of 2cos(x-3sin(x)+4)

Solution

\frac{d}{d x} (2 cos (x) - 3 sin (x) + 4)

Solution

- 2 sin (x) - 3 cos (x)

Solution steps

\frac{d}{d x} (2 cos (x) - 3 sin (x) + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 cos (x)) - \frac{d}{d x} (3 sin (x)) + \frac{d}{d x} (4)

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

\frac{d}{d x} (3 sin (x)) = 3 cos (x)

\frac{d}{d x} (4) = 0

= - 2 sin (x) - 3 cos (x) + 0

Simplify

= - 2 sin (x) - 3 cos (x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 2cos(x-3sin(x)+4) ?
The derivative of 2cos(x-3sin(x)+4) is -2sin(x)-3cos(x)
What is the first derivative of 2cos(x-3sin(x)+4) ?
The first derivative of 2cos(x-3sin(x)+4) is -2sin(x)-3cos(x)