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Popular >

derivative of sin^4(2x+3)

Solution

\frac{d}{d x} (sin^{4} (2 x + 3))

Solution

8 sin^{3} (2 x + 3) cos (2 x + 3)

Solution steps

\frac{d}{d x} (sin^{4} (2 x + 3))

Apply the chain rule:

4 (sin (2 x + 3))^{3} \frac{d}{d x} (sin (2 x + 3))

= 4 (sin (2 x + 3))^{3} \frac{d}{d x} (sin (2 x + 3))

\frac{d}{d x} (sin (2 x + 3)) = cos (2 x + 3) \cdot 2

= 4 (sin (2 x + 3))^{3} cos (2 x + 3) \cdot 2

Simplify

= 8 sin^{3} (2 x + 3) cos (2 x + 3)

Graph

Popular Examples

derivative of (1/x)^3 derivative of

(\frac{1}{x})^{3}

tangent of f(x)=(3x-1)/(x^2+1),\at x=6 tangent of

f (x) = \frac{3 x - 1}{x ^{2} + 1}, at x = 6

integral from 1 to 2 of (4x^2-7x-12)/(x(x+2)(x-3))

\int_{1}^{2} \frac{4 x ^{2} - 7 x - 12}{x ( x + 2 ) ( x - 3 )} d x

derivative of x^{-3/5}

\frac{d}{d x} (x^{- \frac{3}{5}})

derivative of y=ln(x^2+5)derivative of

y = ln (x^{2} + 5)

Frequently Asked Questions (FAQ)

What is the derivative of sin^4(2x+3) ?
The derivative of sin^4(2x+3) is 8sin^3(2x+3)cos(2x+3)
What is the first derivative of sin^4(2x+3) ?
The first derivative of sin^4(2x+3) is 8sin^3(2x+3)cos(2x+3)