# calculus

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what is the slope of the curve y=tan(6x^2) when x=ð

• calculus -

it's x=pi.

• calculus -

d tan theta/d theta = sec^2 theta

so sec^2 (6 x^2) * 12 x

x = pi so sec (6 x^2) = 1/cos(6pi^2)=1.95

sec^2(6x^2) = 3.82

12 * pi * 3.82 = 144

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