What is the derivative of f(x)=sin^4(x) ?

The derivative of f(x)=sin^4(x) is 4sin^3(x)cos(x)

What is the first derivative of f(x)=sin^4(x) ?

The first derivative of f(x)=sin^4(x) is 4sin^3(x)cos(x)

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derivative of

f (x) = sin^{4} (x)

4 sin^{3} (x) cos (x)

Solution steps

\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)

= 4 (sin (x))^{3} cos (x)

Simplify

= 4 sin^{3} (x) cos (x)

\frac{d}{d x} (100 x^{2})

y^{^{'}} = (x + y - 2) 2

\frac{\partial}{\partial x} (x ln (yz))

\int x e^{a x} d x

2 y^{^{''}} - 3 y^{^{'}} + y = 0, y (0) = 2, y^{^{'}} (0) = \frac{1}{2}

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