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

\frac{\partial}{\partial x} (\frac{6 x}{x ^{2} + y ^{2}})

y^{^{'}} = 2 x + y, y (0) = 7

sin (x) (cos (x) - 1) π

\frac{\partial}{\partial x} (x^{2} + 4 y^{2})

x^{2} y^{^{''}} - x y^{^{'}} + y = \frac{1}{x}

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