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Popular >

derivative of 2sin(2v)-4sin^9(2v)

Solution

derivative of

2 sin (2 v) - 4 sin^{9} (2 v)

Solution

4 cos (2 v) - 72 sin^{8} (2 v) cos (2 v)

Solution steps

\frac{d}{d v} (2 sin (2 v) - 4 sin^{9} (2 v))

Apply the Sum/Difference Rule:

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

= \frac{d}{d v} (2 sin (2 v)) - \frac{d}{d v} (4 sin^{9} (2 v))

\frac{d}{d v} (2 sin (2 v)) = 4 cos (2 v)

\frac{d}{d v} (4 sin^{9} (2 v)) = 72 sin^{8} (2 v) cos (2 v)

= 4 cos (2 v) - 72 sin^{8} (2 v) cos (2 v)

Popular Examples

derivative of xe^{-y}

\frac{d}{d x} (x e^{- y})

integral from-2 to-1 of 2/(x^2)

\int_{- 2}^{- 1} \frac{2}{x ^{2}} d x

(4x+2x^{-1}y+2x^{-1}y^2)dx+(1+2y)dy=0

(4 x + 2 x^{- 1} y + 2 x^{- 1} y^{2}) d x + (1 + 2 y) d y = 0

derivative of f(x)= x/((1+x^2))derivative of

f (x) = \frac{x}{( 1 + x ^{2} )}

2 y d x - x d y = 0

Frequently Asked Questions (FAQ)

What is the derivative of 2sin(2v)-4sin^9(2v) ?
The derivative of 2sin(2v)-4sin^9(2v) is 4cos(2v)-72sin^8(2v)cos(2v)
What is the first derivative of 2sin(2v)-4sin^9(2v) ?
The first derivative of 2sin(2v)-4sin^9(2v) is 4cos(2v)-72sin^8(2v)cos(2v)