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

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

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

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

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

sin (2 x) - sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= sin (2 x) - sin (x)

y = 5^{- x}

y = x 4 - x^{2}

f (x) = 4 x - 3

f (x) = (\frac{5}{3})^{x}

f (x) = 2 cos (3 x)

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