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

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

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

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

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derivative of

5 cos^{2} (x) + 5 sin (x)

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

Solution steps

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

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

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

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

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