What is the derivative of f(x)=3sin^2(x) ?

The derivative of f(x)=3sin^2(x) is 3sin(2x)

What is the first derivative of f(x)=3sin^2(x) ?

The first derivative of f(x)=3sin^2(x) is 3sin(2x)

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derivative of

f (x) = 3 sin^{2} (x)

3 sin (2 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

2 sin (x) \frac{d}{d x} (sin (x))

= 2 sin (x) \frac{d}{d x} (sin (x))

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

= 3 \cdot 2 sin (x) cos (x)

Simplify

3 \cdot 2 sin (x) cos (x) : 3 sin (2 x)

= 3 sin (2 x)

y^{^{''}} + 9 y = t^{2} + cos (3 t)

\frac{s - 5}{s ^{2} + 4 s + 20}

\int \frac{y ^{2}}{( y + 1 ) ^{4}} d y

f (x) = x^{3} + 4 e^{- 0.5 x}

\int tan^{3} (2 x) sec^{2} (2 x) d x

What is the derivative of f(x)=3sin^2(x) ?
The derivative of f(x)=3sin^2(x) is 3sin(2x)
What is the first derivative of f(x)=3sin^2(x) ?
The first derivative of f(x)=3sin^2(x) is 3sin(2x)