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

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

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

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

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

- sin (2 x) + cos (x^{2}) \cdot 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - sin (2 x) + cos (x^{2}) \cdot 2 x

\int \frac{x}{( x ^{2} + R ^{2} ) ^{\frac{3}{2}}} d x

\int (x^{2} + 3 x) 2^{x} d x

\int \frac{x ^{3} + 4 x - 13}{x ^{2} + 4} d x

2 sin^{5} (x)

\int 13 d x

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