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

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

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

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

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

cos (x) + sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= cos (x) + sin (2 x)

y^{^{''}} + 16 y = x e^{3 x}

x \to 0 lim (9 x + 6)

x \to 0 lim (10 + ∣ x - 5 ∣)

\int ln (4 x + 9) d x

\frac{\partial}{\partial x} (\frac{1}{( x ^{2} + y ^{2} + z ^{2} )})

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