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Popular >

derivative of 3cos(x-5cot(x))

Solution

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

Solution

- 3 sin (x) + 5 csc^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 cos (x)) = - 3 sin (x)

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

= - 3 sin (x) - (- 5 csc^{2} (x))

Simplify

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

Popular Examples

(xy^2)dx+(1+x^2y)dy=0

(x y^{2}) d x + (1 + x^{2} y) d y = 0

derivative of sqrt((4+8/x ^2+(2+x)^2))

\frac{d}{d x} (4 + \frac{8}{x})^{2} + (2 + x)^{2}

area y=sqrt(x^2-1),x=1,x=3 area

y = x^{2} - 1, x = 1, x = 3

integral of 3xln(4x)

\int 3 x ln (4 x) d x

derivative of f(x)=(3-5x)^9 derivative of

f (x) = (3 - 5 x)^{9}

Frequently Asked Questions (FAQ)

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