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Popular >

derivative of-5cot(x+3sec(x))

Solution

\frac{d}{d x} (- 5 cot (x) + 3 sec (x))

Solution

5 csc^{2} (x) + 3 sec (x) tan (x)

Solution steps

\frac{d}{d x} (- 5 cot (x) + 3 sec (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (5 cot (x)) + \frac{d}{d x} (3 sec (x))

\frac{d}{d x} (5 cot (x)) = - 5 csc^{2} (x)

\frac{d}{d x} (3 sec (x)) = 3 sec (x) tan (x)

= - (- 5 csc^{2} (x)) + 3 sec (x) tan (x)

Simplify

= 5 csc^{2} (x) + 3 sec (x) tan (x)

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integral of x/(sqrt(2-x^2))

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

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x \to \infty lim (7 x - 3)

(\partial)/(\partial x)((x^2)/(x^2+1))

\frac{\partial}{\partial x} (\frac{x ^{2}}{x ^{2} + 1})

((f(t))/(g(t)))'

(\frac{f ( t )}{g ( t )})^{'}

derivative of sqrt(x)e^{x^2}(x^2+1^{10})

\frac{d}{d x} (x e^{x^{2}} (x^{2} + 1)^{10})

Frequently Asked Questions (FAQ)

What is the derivative of-5cot(x+3sec(x)) ?
The derivative of-5cot(x+3sec(x)) is 5csc^2(x)+3sec(x)tan(x)
What is the first derivative of-5cot(x+3sec(x)) ?
The first derivative of-5cot(x+3sec(x)) is 5csc^2(x)+3sec(x)tan(x)