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

The derivative of-cos(x^2) is 2xsin(x^2)

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

The first derivative of-cos(x^2) is 2xsin(x^2)

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

2 x sin (x^{2})

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

= 2 x sin (x^{2})

x \to 2 lim (6)

x \to 0 lim (\frac{sin ( x ) - x}{x})

n = 1 \sum \infty 4 (\frac{3}{4})^{n}

\int 2 x \cdot cos (1 + 3 x^{2}) d x

\int \frac{( 7 x ^{3} - 8 x )}{x} d x

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