What is the derivative of cos(sqrt(x)-7x^2) ?

The derivative of cos(sqrt(x)-7x^2) is -sin(sqrt(x)-7x^2)(1/(2sqrt(x))-14x)

What is the first derivative of cos(sqrt(x)-7x^2) ?

The first derivative of cos(sqrt(x)-7x^2) is -sin(sqrt(x)-7x^2)(1/(2sqrt(x))-14x)

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\frac{d}{d x} (cos (x - 7 x^{2}))

- sin (x - 7 x^{2}) (\frac{1}{2 x} - 14 x)

Solution steps

\frac{d}{d x} (cos (x - 7 x^{2}))

Apply the chain rule:

- sin (x - 7 x^{2}) \frac{d}{d x} (x - 7 x^{2})

= - sin (x - 7 x^{2}) \frac{d}{d x} (x - 7 x^{2})

\frac{d}{d x} (x - 7 x^{2}) = \frac{1}{2 x} - 14 x

= - sin (x - 7 x^{2}) (\frac{1}{2 x} - 14 x)

What is the derivative of cos(sqrt(x)-7x^2) ?
The derivative of cos(sqrt(x)-7x^2) is -sin(sqrt(x)-7x^2)(1/(2sqrt(x))-14x)
What is the first derivative of cos(sqrt(x)-7x^2) ?
The first derivative of cos(sqrt(x)-7x^2) is -sin(sqrt(x)-7x^2)(1/(2sqrt(x))-14x)