![]() They are much more complicated to write out, as most have a numerator, denominator, and root sign, so I would suggest a quick web search for "inverse trig derivatives" and inverse hyperbolic derivatives". Differentiating trigonometric functions review. The trig functions are based off of a unit circle, with equation x 2 + y 2 = 1Īdditionally there are 6 hyperbolic functions, which are based off of the hyperbola x 2 - y 2 = 1įinally, all 12 of the functions above have inverse functions, and each of those have derivatives as well. Derivatives of tan (x) and cot (x) Derivatives of sec (x) and csc (x) Derivatives of tan (x), cot (x), sec (x), and csc (x) Worked example: Derivative of sec (3/2-x) using the chain rule. (This is intended to be in two columns, but the Wyzant software keeps taking the space out) ![]() Derivative of tan(ax) by using First Principle formula of derivative. We can see patterns to help memorize them better this way.ĭ/dx sin(x) = cos(x) d/dx cos(x) = - sin(x)ĭ/dx sec(x) = sec(x)tan(x) d/dx csc(x) = - csc(x)cot(x)ĭ/dx tan(x) = sec 2(x) d/dx cot(x) = - csc 2(x) Advertisement Answer: Sin x Explanation: The derivatives for the sin and cos. I like to group them as follows, with those without "co" in the name in the 1st column and those with "co" in the 2nd. Yes, other Trig functions and their derivatives exist. ![]()
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