What is the derivative of 3cos^2(x-6sin(x)) ?

The derivative of 3cos^2(x-6sin(x)) is -3sin(2x)-6cos(x)

What is the first derivative of 3cos^2(x-6sin(x)) ?

The first derivative of 3cos^2(x-6sin(x)) is -3sin(2x)-6cos(x)

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\frac{d}{d x} (3 cos^{2} (x) - 6 sin (x))

- 3 sin (2 x) - 6 cos (x)

Solution steps

\frac{d}{d x} (3 cos^{2} (x) - 6 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 cos^{2} (x)) - \frac{d}{d x} (6 sin (x))

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

\frac{d}{d x} (6 sin (x)) = 6 cos (x)

= - 3 sin (2 x) - 6 cos (x)

\frac{\partial}{\partial x} (arcsin (3 x))

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

e^{x} - 2, 0 \leq x \leq 2

\int \frac{x}{x ^{4} + 5} d x

What is the derivative of 3cos^2(x-6sin(x)) ?
The derivative of 3cos^2(x-6sin(x)) is -3sin(2x)-6cos(x)
What is the first derivative of 3cos^2(x-6sin(x)) ?
The first derivative of 3cos^2(x-6sin(x)) is -3sin(2x)-6cos(x)