How do you find the derivative of $secx tanx$ ?

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Answer 1 · 2015-08-31T16:56:09

Use the product rule and derivatives of trigonometric functions.

$d/dx(secx tanx) = d/dx(secx) tanx + secx d/dx(tanx)$

$= (secxtanx)tanx+secx(sec^2x)$

$= sec tan^2x + sec^3x$

$= secx(tan^2x+sec^2x)$

How do you find the derivative of secx tanxsecx tanx?