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Popular >

derivative of f(x)=2cos(x)+cos^2(x)

Solution

derivative of

f (x) = 2 cos (x) + cos^{2} (x)

Solution

- 2 sin (x) - sin (2 x)

Solution steps

\frac{d}{d x} (2 cos (x) + cos^{2} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 cos (x)) + \frac{d}{d x} (cos^{2} (x))

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

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

= - 2 sin (x) - sin (2 x)

Graph

Popular Examples

integral of (ln^2(x))/(x^2)

\int \frac{ln ^{2} ( x )}{x ^{2}} d x

limit as n approaches 1 of 3-7/(4^n)

n \to 1 lim (3 - \frac{7}{4 ^{n}})

(\partial)/(\partial x)(xy^{10}+x^2+y^4)

\frac{\partial}{\partial x} (x y^{10} + x^{2} + y^{4})

integral of (e^{3x}+1)

\int (e^{3 x} + 1) d x

integral of x^2cos(y)+3y^2e^x

\int x^{2} cos (y) + 3 y^{2} e^{x} d y

Frequently Asked Questions (FAQ)

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