What is the derivative of cos(x^2-5) ?

The derivative of cos(x^2-5) is -sin(x^2-5)*2x

What is the first derivative of cos(x^2-5) ?

The first derivative of cos(x^2-5) is -sin(x^2-5)*2x

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derivative of

cos (x^{2} - 5)

- sin (x^{2} - 5) \cdot 2 x

Solution steps

\frac{d}{d x} (cos (x^{2} - 5))

Apply the chain rule:

- sin (x^{2} - 5) \frac{d}{d x} (x^{2} - 5)

= - sin (x^{2} - 5) \frac{d}{d x} (x^{2} - 5)

\frac{d}{d x} (x^{2} - 5) = 2 x

= - sin (x^{2} - 5) \cdot 2 x

What is the derivative of cos(x^2-5) ?
The derivative of cos(x^2-5) is -sin(x^2-5)*2x
What is the first derivative of cos(x^2-5) ?
The first derivative of cos(x^2-5) is -sin(x^2-5)*2x