What is the derivative of 3cos(-x^3+3x+1) ?

The derivative of 3cos(-x^3+3x+1) is -3sin(-x^3+3x+1)(-3x^2+3)

What is the first derivative of 3cos(-x^3+3x+1) ?

The first derivative of 3cos(-x^3+3x+1) is -3sin(-x^3+3x+1)(-3x^2+3)

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\frac{d}{d x} (3 cos (- x^{3} + 3 x + 1))

- 3 sin (- x^{3} + 3 x + 1) (- 3 x^{2} + 3)

Solution steps

\frac{d}{d x} (3 cos (- x^{3} + 3 x + 1))

Take the constant out:

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

= 3 \frac{d}{d x} (cos (- x^{3} + 3 x + 1))

Apply the chain rule:

- sin (- x^{3} + 3 x + 1) \frac{d}{d x} (- x^{3} + 3 x + 1)

= - sin (- x^{3} + 3 x + 1) \frac{d}{d x} (- x^{3} + 3 x + 1)

\frac{d}{d x} (- x^{3} + 3 x + 1) = - 3 x^{2} + 3

= 3 (- sin (- x^{3} + 3 x + 1) (- 3 x^{2} + 3))

Simplify

= - 3 sin (- x^{3} + 3 x + 1) (- 3 x^{2} + 3)

\int x - \frac{5 - 25 - 4 x}{2} d x

\int \frac{1}{n + 3}

x \to 0 lim (\frac{ln ( 1 - x )}{x})

\frac{d}{d x} (23)

x = 4 - (y - 2)^{2}, y = x

What is the derivative of 3cos(-x^3+3x+1) ?
The derivative of 3cos(-x^3+3x+1) is -3sin(-x^3+3x+1)(-3x^2+3)
What is the first derivative of 3cos(-x^3+3x+1) ?
The first derivative of 3cos(-x^3+3x+1) is -3sin(-x^3+3x+1)(-3x^2+3)