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Popular >

derivative of 8sin(x-8xcos(x))

Solution

\frac{d}{d x} (8 sin (x) - 8 x cos (x))

Solution

8 x sin (x)

Solution steps

\frac{d}{d x} (8 sin (x) - 8 x cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 sin (x)) - \frac{d}{d x} (8 x cos (x))

\frac{d}{d x} (8 sin (x)) = 8 cos (x)

\frac{d}{d x} (8 x cos (x)) = 8 (cos (x) - x sin (x))

= 8 cos (x) - 8 (cos (x) - x sin (x))

Simplify

8 cos (x) - 8 (cos (x) - x sin (x)) : 8 x sin (x)

= 8 x sin (x)

Popular Examples

derivative of f(4)=4x^{5/4}+4x^{3/2}+5x derivative of

f (4) = 4 x^{\frac{5}{4}} + 4 x^{\frac{3}{2}} + 5 x

derivative of ln(9x)derivative of

ln (9 x)

tangent of f(x)=sqrt(x-1),(5,2)tangent of

f (x) = x - 1, (5, 2)

sum from n=0 to infinity of (n^2)/(3^n)

n = 0 \sum \infty \frac{n ^{2}}{3 ^{n}}

taylor e^x+1 taylor

e^{x} + 1

Frequently Asked Questions (FAQ)

What is the derivative of 8sin(x-8xcos(x)) ?
The derivative of 8sin(x-8xcos(x)) is 8xsin(x)
What is the first derivative of 8sin(x-8xcos(x)) ?
The first derivative of 8sin(x-8xcos(x)) is 8xsin(x)