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Differentiation Using Substitution

If tan x = x-...

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If tan x = x-1/4x then sec x - tan x is equal to

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tan x = x - \frac{1}{4 x}

sec x - tan x

y = {tan}^{- 1} (sec x - tan x)

\frac{d y}{d x}

y = \frac{sec x - tan x}{sec x + tan x}

\frac{d y}{d x}

I = \int s e c^{6} x d x = \frac{1}{5} t a n^{3} x + A t a n^{3} x + t a n x + C

then A is equal to

If $t a n θ = x - \frac{1}{4 x}$ , then sec \theta-tan \theta is equal to

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Differentiation Using Substitution

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