What is the derivative of 5cos^2(x-10sin(x)) ?

The derivative of 5cos^2(x-10sin(x)) is -5sin(2x)-10cos(x)

What is the first derivative of 5cos^2(x-10sin(x)) ?

The first derivative of 5cos^2(x-10sin(x)) is -5sin(2x)-10cos(x)

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\frac{d}{d x} (5 cos^{2} (x) - 10 sin (x))

- 5 sin (2 x) - 10 cos (x)

Solution steps

\frac{d}{d x} (5 cos^{2} (x) - 10 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 cos^{2} (x)) - \frac{d}{d x} (10 sin (x))

\frac{d}{d x} (5 cos^{2} (x)) = - 5 sin (2 x)

\frac{d}{d x} (10 sin (x)) = 10 cos (x)

= - 5 sin (2 x) - 10 cos (x)

\int (x + 1)^{100} d x

x \to 0 lim (x^{\frac{3}{2}})

e^{t - 7}

\int 2 + e^{2 t} + e^{- 2 t} d t

x^{2} + 5 x + 9

What is the derivative of 5cos^2(x-10sin(x)) ?
The derivative of 5cos^2(x-10sin(x)) is -5sin(2x)-10cos(x)
What is the first derivative of 5cos^2(x-10sin(x)) ?
The first derivative of 5cos^2(x-10sin(x)) is -5sin(2x)-10cos(x)