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

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

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

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

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

cos (e^{x^{2}}) e^{x^{2}} \cdot 2 x

Solution steps

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

Apply the chain rule:

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

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

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

= cos (e^{x^{2}}) e^{x^{2}} \cdot 2 x

\int_{1}^{e} ln (21 x) d x

x \to - 5 lim (x + 5)

\frac{\partial}{\partial z} (y^{2} z e^{z})

\frac{\partial}{\partial x} ((x^{2} + y^{2} + z^{2})^{- 0.5})

\int (sec (x) \cdot tan (x)) d x

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