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

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

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

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

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derivative of

cos (x^{2})

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int \frac{1}{sec ( x ^{2} )} d x

\int (e^{\frac{x}{a}} + 1)^{\frac{1}{3}} e^{\frac{x}{a}} d x

\int_{2}^{4} \frac{x ( 2 x - 3 )}{6} d x

x \to 1 - lim (\frac{8}{1 - x})

\int \frac{x ^{3} + 3 x ^{2} + 6 x + 5}{x ^{2} + x + 2} d x

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