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

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

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

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

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derivative of

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

- sin (2 x) + cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x + 11

2^{y} + 1

\frac{3}{x ^{4}}

\frac{d}{d t} (5 t + 16 t^{2})

\frac{d}{d t} (- 80 - 12 + 2 t^{2})

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