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Popular >

derivative of sin^2(x-cos(2x))

Solution

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

Solution

3 sin (2 x)

Solution steps

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

Simplify

sin^{2} (x) - cos (2 x) : - 1 + 3 sin^{2} (x)

= \frac{d}{d x} (- 1 + 3 sin^{2} (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (1) + \frac{d}{d x} (3 sin^{2} (x))

\frac{d}{d x} (1) = 0

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

= - 0 + 3 sin (2 x)

Simplify

= 3 sin (2 x)

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x \to 4 + lim (5)

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\int sin (ln (14 x)) d x

derivative of (x/(2(x^2-1)^2-1))^2 derivative of

(\frac{x}{2 ( x ^{2} - 1 ) ^{2} - 1})^{2}

integral from 0 to 30 of 4x(30-x)

\int_{0}^{30} 4 x (30 - x) d x

(\partial)/(\partial x)(x^3e^{sqrt(4xy)})

\frac{\partial}{\partial x} (x^{3} e^{4 x y})

Frequently Asked Questions (FAQ)

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