what is the slope of the curve y=tan(6x^2) when x=ð
2 answers
it's x=pi.
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
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