What is the derivative of cos(x(x^2+1)+(sqrt(3))/2) ?

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

What is the first derivative of cos(x(x^2+1)+(sqrt(3))/2) ?

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{3}{2}) = 0

= - sin (x (x^{2} + 1)) (3 x^{2} + 1) + 0

Simplify

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

x \to 0 lim (x ln (x + x^{2}))

\int \frac{x ^{2} - 64}{x} d x

\frac{1 + 2 x}{3 - 4 x}

\frac{\partial}{\partial x} (\frac{V ( I , x )}{I})

\int e^{3 x + 2 y}

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