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Popular >

derivative of tan(x+3cotan(x))

Solution

\frac{d}{d x} (tan (x) + 3 co tan (x))

Solution

sec^{2} (x) + 3 co sec^{2} (x)

Solution steps

\frac{d}{d x} (tan (x) + 3 co tan (x))

Treat

c, o

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (tan (x)) + \frac{d}{d x} (3 co tan (x))

\frac{d}{d x} (tan (x)) = sec^{2} (x)

\frac{d}{d x} (3 co tan (x)) = 3 co sec^{2} (x)

= sec^{2} (x) + 3 co sec^{2} (x)

Graph

Popular Examples

integral of (x^{3/2})

\int (x^{\frac{3}{2}}) d x

y^{''}+6y^'+18y=-9e^{-3t}

y^{^{''}} + 6 y^{^{'}} + 18 y = - 9 e^{- 3 t}

derivative of f(x)=(x^2)/(x+4)derivative of

f (x) = \frac{x ^{2}}{x + 4}

sum from n=5 to infinity of 4/(n^2-1)

n = 5 \sum \infty \frac{4}{n ^{2} - 1}

integral of (196)/(x^3-14x^2)

\int \frac{196}{x ^{3} - 14 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of tan(x+3cotan(x)) ?
The derivative of tan(x+3cotan(x)) is sec^2(x)+3cosec^2(x)
What is the first derivative of tan(x+3cotan(x)) ?
The first derivative of tan(x+3cotan(x)) is sec^2(x)+3cosec^2(x)