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Popular >

derivative of 7sin(x-7xcos(x))

Solution

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

Solution

7 x sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

= 7 x sin (x)

Popular Examples

integral from 0 to pi of 2sin(x)

\int_{0}^{π} 2 sin (x) d x

d/(dθ)(-8sin(θ))

\frac{d}{d θ} (- 8 sin (θ))

inverse oflaplace 2/(s+10.04)inverse laplace

\frac{2}{s + 10.04}

limit as x approaches-infinity of 3-4x^2

x \to - \infty lim (3 - 4 x^{2})

limit as x approaches infinity of (x^3)/(2^x)

x \to \infty lim (\frac{x ^{3}}{2 ^{x}})

Frequently Asked Questions (FAQ)

What is the derivative of 7sin(x-7xcos(x)) ?
The derivative of 7sin(x-7xcos(x)) is 7xsin(x)
What is the first derivative of 7sin(x-7xcos(x)) ?
The first derivative of 7sin(x-7xcos(x)) is 7xsin(x)