What is the derivative of f(x)=sin(x^2) ?

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

What is the first derivative of f(x)=sin(x^2) ?

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

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derivative

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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