What is the derivative of cos(x^2+1) ?

The derivative of cos(x^2+1) is -sin(x^2+1)*2x

What is the first derivative of cos(x^2+1) ?

The first derivative of cos(x^2+1) is -sin(x^2+1)*2x

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\frac{d}{d x} (cos (x^{2} + 1))

- sin (x^{2} + 1) \cdot 2 x

Solution steps

\frac{d}{d x} (cos (x^{2} + 1))

Apply the chain rule:

- sin (x^{2} + 1) \frac{d}{d x} (x^{2} + 1)

= - sin (x^{2} + 1) \frac{d}{d x} (x^{2} + 1)

\frac{d}{d x} (x^{2} + 1) = 2 x

= - sin (x^{2} + 1) \cdot 2 x

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What is the derivative of cos(x^2+1) ?
The derivative of cos(x^2+1) is -sin(x^2+1)*2x
What is the first derivative of cos(x^2+1) ?
The first derivative of cos(x^2+1) is -sin(x^2+1)*2x