What is the derivative of sin^3(5x) ?

The derivative of sin^3(5x) is 15sin^2(5x)cos(5x)

What is the first derivative of sin^3(5x) ?

The first derivative of sin^3(5x) is 15sin^2(5x)cos(5x)

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derivative of

sin^{3} (5 x)

15 sin^{2} (5 x) cos (5 x)

Solution steps

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

Apply the chain rule:

3 (sin (5 x))^{2} \frac{d}{d x} (sin (5 x))

= 3 (sin (5 x))^{2} \frac{d}{d x} (sin (5 x))

\frac{d}{d x} (sin (5 x)) = cos (5 x) \cdot 5

= 3 (sin (5 x))^{2} cos (5 x) \cdot 5

Simplify

= 15 sin^{2} (5 x) cos (5 x)

y \to - 3 lim (4 y^{2} + 4 y + 1)

y = (2)^{x}, at x = 8

\frac{x ^{2}}{x ^{2} + 1}

f^{^{'}} x = (2 x) (x^{4} - 8 x) + (x^{2}) (4 x^{3} - 8)

y = \frac{6 t - 3}{5 t + 8}

What is the derivative of sin^3(5x) ?
The derivative of sin^3(5x) is 15sin^2(5x)cos(5x)
What is the first derivative of sin^3(5x) ?
The first derivative of sin^3(5x) is 15sin^2(5x)cos(5x)