What is the derivative of f(x)=a^2+cos^2(x) ?

The derivative of f(x)=a^2+cos^2(x) is -sin(2x)

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

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

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derivative of

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

- sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (a^{2}) = 0

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

= 0 - sin (2 x)

Simplify

= - sin (2 x)

\int e^{y^{2}} y^{3} d y

(7 x + 6)^{2}

\int 8 x^{\frac{1}{3}} - 4 x^{- \frac{1}{3}} d x

x \to - \infty lim (\frac{2 e ^{- \frac{1}{2} x}}{x ^{3}})

\int 2 cos^{5} (x) sin^{4} (x) d x

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