What is the derivative of-3sin^4(x) ?

The derivative of-3sin^4(x) is -12sin^3(x)cos(x)

What is the first derivative of-3sin^4(x) ?

The first derivative of-3sin^4(x) is -12sin^3(x)cos(x)

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derivative of

- 3 sin^{4} (x)

- 12 sin^{3} (x) cos (x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

= - 12 sin^{3} (x) cos (x)

\frac{\partial}{\partial x} (5 y^{4} cos (4 x))

\int sin^{\frac{1}{2}} (x) cos (x) d x

x^{3} \frac{d y}{d x} + 3 x^{2} y = x

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

\frac{\partial}{\partial x} (- 2 x^{2} + 4 y^{2} + 3 z^{2} + 43)

What is the derivative of-3sin^4(x) ?
The derivative of-3sin^4(x) is -12sin^3(x)cos(x)
What is the first derivative of-3sin^4(x) ?
The first derivative of-3sin^4(x) is -12sin^3(x)cos(x)