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

The derivative of 5+cos(x^2) is -2xsin(x^2)

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

The first derivative of 5+cos(x^2) is -2xsin(x^2)

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

- 2 x sin (x^{2})

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (5) = 0

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

= 0 - sin (x^{2}) \cdot 2 x

Simplify

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

\int e^{5 y} d y

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d er i v a t i v e (7 x + 6)^{3}

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