What is the derivative of 2csc^3(sqrt(x))+3cta(x^2) ?

The derivative of 2csc^3(sqrt(x))+3cta(x^2) is -(3csc^3(sqrt(x))cot(sqrt(x)))/(sqrt(x))+6ctax

What is the first derivative of 2csc^3(sqrt(x))+3cta(x^2) ?

The first derivative of 2csc^3(sqrt(x))+3cta(x^2) is -(3csc^3(sqrt(x))cot(sqrt(x)))/(sqrt(x))+6ctax

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derivative of

2 csc^{3} (x) + 3 c t a (x^{2})

- \frac{3 csc ^{3} ( x ) cot ( x )}{x} + 6 c t a x

Solution steps

\frac{d}{d x} (2 csc^{3} (x) + 3 c t a x^{2})

Treat

c, t, a

as constants

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 csc^{3} (x)) + \frac{d}{d x} (3 c t a x^{2})

\frac{d}{d x} (2 csc^{3} (x)) = - \frac{3 csc ^{3} ( x ) cot ( x )}{x}

\frac{d}{d x} (3 c t a x^{2}) = 6 c t a x

= - \frac{3 csc ^{3} ( x ) cot ( x )}{x} + 6 c t a x

x \to 0 - lim (6 + \frac{1}{x})

\frac{\partial}{\partial x} (y e^{- x y})

\frac{\partial}{\partial x} (\frac{x}{x + 1})

x \to \infty lim (x (1)^{x})

\int e^{8 θ} sin (9 θ) d θ

What is the derivative of 2csc^3(sqrt(x))+3cta(x^2) ?
The derivative of 2csc^3(sqrt(x))+3cta(x^2) is -(3csc^3(sqrt(x))cot(sqrt(x)))/(sqrt(x))+6ctax
What is the first derivative of 2csc^3(sqrt(x))+3cta(x^2) ?
The first derivative of 2csc^3(sqrt(x))+3cta(x^2) is -(3csc^3(sqrt(x))cot(sqrt(x)))/(sqrt(x))+6ctax