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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int \frac{sin ( x )}{2 x} d x

, x

f (1) = 9 + \frac{3}{x}

f (x) = 3 x + 8

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

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