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

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

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

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

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derivative of

y = sin (x^{2} + 2)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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