What is the derivative of 4cos(x^2) ?

The derivative of 4cos(x^2) is -8xsin(x^2)

What is the first derivative of 4cos(x^2) ?

The first derivative of 4cos(x^2) is -8xsin(x^2)

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derivative of

4 cos (x^{2})

- 8 x sin (x^{2})

Solution steps

\frac{d}{d x} (4 cos (x^{2}))

Take the constant out:

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

= 4 \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

= 4 (- sin (x^{2}) \cdot 2 x)

Simplify

= - 8 x sin (x^{2})

x \to 3 lim (\frac{1}{x ^{2} - 9})

t \to π lim (tan (\frac{t}{6}))

\int_{1}^{5} \frac{x ^{2} + 1}{6 x - x ^{2}} d x

\frac{d}{d x} (6 x^{2} - 8 + 40 cos (π) x)

\int \frac{x ^{3}}{1 + x ^{2}} d x

What is the derivative of 4cos(x^2) ?
The derivative of 4cos(x^2) is -8xsin(x^2)
What is the first derivative of 4cos(x^2) ?
The first derivative of 4cos(x^2) is -8xsin(x^2)