What is the derivative for $y=tan(x)+x^(5/2)+2x$ ?

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Answer 1 · 2018-05-02T15:31:04

$dy/dx=sec^2x+5/2x^(3/2)+2$

$y=tanx+x^(5/2)+2x$

$color(green)(d/dxtanu=sec^2ucolor(blue)((du)/dx$ $color(red)(rarr"Where u is a function of " x$

$color(green)(d/dxu^n=n*u^(n-1)color(blue)((du)/dx$ $color(red)(rarr"Where u is a function of " x$

$dy/dx=color(green)(sec^2x)color(blue)(xx1)+color(green)(5/2x^(3/2))color(blue)(xx1)+color(green)(2color(blue)(xx1)$

$=sec^2x+5/2x^(3/2)+2$

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What is the derivative for y=tan(x)+x^(5/2)+2xy=tan(x)+x^(5/2)+2x?