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Popular >

derivative of tan(pi x/3)

Solution

\frac{d}{d x} (tan (π \frac{x}{3}))

Solution

sec^{2} (\frac{π x}{3}) \frac{π}{3}

Solution steps

\frac{d}{d x} (tan (π \frac{x}{3}))

Simplify

tan (π \frac{x}{3}) : tan (\frac{π x}{3})

= \frac{d}{d x} (tan (\frac{π x}{3}))

Apply the chain rule:

sec^{2} (\frac{π x}{3}) \frac{d}{d x} (\frac{π x}{3})

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

\frac{d}{d x} (\frac{π x}{3}) = \frac{π}{3}

= sec^{2} (\frac{π x}{3}) \frac{π}{3}

Popular Examples

integral of 5/(sqrt(x)(1+5\sqrt{x))^2}

\int \frac{5}{x ( 1 + 5 x ) ^{2}} d x

derivative of 2.72+0.75x

\frac{d}{d x} (2.72 + 0.75 x)

integral of (e^{3x})/(4+e^{3x)}

\int \frac{e ^{3 x}}{4 + e ^{3 x}} d x

(d^3)/(dx^3)(x(2x-5)^3)

\frac{d ^{3}}{d x ^{3}} (x (2 x - 5)^{3})

y^{''}+2y=sin((7t)/5)

y^{^{''}} + 2 y = sin (\frac{7 t}{5})

Frequently Asked Questions (FAQ)

What is the derivative of tan(pi x/3) ?
The derivative of tan(pi x/3) is sec^2((pix)/3) pi/3
What is the first derivative of tan(pi x/3) ?
The first derivative of tan(pi x/3) is sec^2((pix)/3) pi/3