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Popular >

derivative of 7cos(x+7xsin(x))

Solution

\frac{d}{d x} (7 cos (x) + 7 x sin (x))

Solution

7 x cos (x)

Solution steps

\frac{d}{d x} (7 cos (x) + 7 x sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 cos (x)) + \frac{d}{d x} (7 x sin (x))

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

\frac{d}{d x} (7 x sin (x)) = 7 (sin (x) + x cos (x))

= - 7 sin (x) + 7 (sin (x) + x cos (x))

Simplify

- 7 sin (x) + 7 (sin (x) + x cos (x)) : 7 x cos (x)

= 7 x cos (x)

Graph

Popular Examples

integral of (16)/(sqrt(49-36x^2))

\int \frac{16}{49 - 36 x ^{2}} d x

\frac{d}{d s} (\frac{s}{t})

integral of 3/(6x-x^2)

\int \frac{3}{6 x - x ^{2}} d x

derivative of x^3cos(x-9xsin(x)-9cos(x))

\frac{d}{d x} (x^{3} cos (x) - 9 x sin (x) - 9 cos (x))

limit as x approaches 0 of 0/(x^4)

x \to 0 lim (\frac{0}{x ^{4}})

Frequently Asked Questions (FAQ)

What is the derivative of 7cos(x+7xsin(x)) ?
The derivative of 7cos(x+7xsin(x)) is 7xcos(x)
What is the first derivative of 7cos(x+7xsin(x)) ?
The first derivative of 7cos(x+7xsin(x)) is 7xcos(x)