What is the derivative of cos(e^{3x^2}) ?

The derivative of cos(e^{3x^2}) is -sin(e^{3x^2})e^{3x^2}*6x

What is the first derivative of cos(e^{3x^2}) ?

The first derivative of cos(e^{3x^2}) is -sin(e^{3x^2})e^{3x^2}*6x

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\frac{d}{d x} (cos (e^{3 x^{2}}))

- sin (e^{3 x^{2}}) e^{3 x^{2}} \cdot 6 x

Solution steps

\frac{d}{d x} (cos (e^{3 x^{2}}))

Apply the chain rule:

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

= - sin (e^{3 x^{2}}) \frac{d}{d x} (e^{3 x^{2}})

\frac{d}{d x} (e^{3 x^{2}}) = e^{3 x^{2}} \cdot 6 x

= - sin (e^{3 x^{2}}) e^{3 x^{2}} \cdot 6 x

\int (1 + x)^{4} d x

\int - 2 x^{2} d x

\int_{\frac{7}{6}}^{6} \frac{1}{1 - x ^{2}} d x

9 x^{2} cos (x) cot (x)

f (x) = \frac{7}{x}, (4, \frac{7}{2})

What is the derivative of cos(e^{3x^2}) ?
The derivative of cos(e^{3x^2}) is -sin(e^{3x^2})e^{3x^2}*6x
What is the first derivative of cos(e^{3x^2}) ?
The first derivative of cos(e^{3x^2}) is -sin(e^{3x^2})e^{3x^2}*6x