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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int \frac{1}{4 x + 5} d x

\int \frac{d}{1} tan (x) d x

\int_{1}^{4} (x - 2)^{2} d x

\int cos (3 x) d x

(x + 1)^{2}

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