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Popular >

(d^3)/(dx^3)(tan(x))

Solution

\frac{d ^{3}}{d x ^{3}} (tan (x))

Solution

- 4 sec^{2} (x) + 6 sec^{4} (x)

Solution steps

\frac{d ^{3}}{d x ^{3}} (tan (x))

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

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

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

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

\frac{d}{d x} (2 sec^{2} (x) tan (x)) = - 4 sec^{2} (x) + 6 sec^{4} (x)

= - 4 sec^{2} (x) + 6 sec^{4} (x)

Popular Examples

y^{''}+y^'=sin(t),y(0)=1,y^'(0)=2

y^{^{''}} + y^{^{'}} = sin (t), y (0) = 1, y^{^{'}} (0) = 2

\int - 8 x d x

integral of (x^4cos(x))/8

\int \frac{x ^{4} cos ( x )}{8} d x

integral from 0 to 2 of (4x+5)e^{-x}

\int_{0}^{2} (4 x + 5) e^{- x} d x

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

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

Frequently Asked Questions (FAQ)

What is (d^3)/(dx^3)(tan(x)) ?
The answer to (d^3)/(dx^3)(tan(x)) is -4sec^2(x)+6sec^4(x)