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Popular >

derivative of 8xsin(x-4pisin(x))

Solution

\frac{d}{d x} (8 x sin (x) - 4 π sin (x))

Solution

8 (sin (x) + x cos (x)) - 4 π cos (x)

Solution steps

\frac{d}{d x} (8 x sin (x) - 4 π sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x sin (x)) - \frac{d}{d x} (4 π sin (x))

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

\frac{d}{d x} (4 π sin (x)) = 4 π cos (x)

= 8 (sin (x) + x cos (x)) - 4 π cos (x)

Graph

Popular Examples

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\frac{d}{d x} (ln^{- 1} (x))

integral of (5ln(x+9))/(x^2)

\int \frac{5 ln ( x + 9 )}{x ^{2}} d x

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x \to - 7 lim (x + 7)

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n = 0 \sum \infty (6 n + 1) x^{n}

x^2(d^2y)/(dx^2)+5x(dy)/(dx)-32y=0

x^{2} \frac{d ^{2} y}{d x ^{2}} + 5 x \frac{d y}{d x} - 32 y = 0

Frequently Asked Questions (FAQ)

What is the derivative of 8xsin(x-4pisin(x)) ?
The derivative of 8xsin(x-4pisin(x)) is 8(sin(x)+xcos(x))-4picos(x)
What is the first derivative of 8xsin(x-4pisin(x)) ?
The first derivative of 8xsin(x-4pisin(x)) is 8(sin(x)+xcos(x))-4picos(x)