WebFind the derivative of y^(2)sinx+y=tan^(-1)x; Question: Find the derivative of y^(2)sinx+y=tan^(-1)x. Find the derivative of y^(2)sinx+y=tan^(-1)x. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. 1st step. WebSep 28, 2024 · The derivative of tan (x) is therefore sec2(x) sec 2 ( x). This calculation required the use of the quotient rule and two trig identities. Examples that Use the Derivative of tan...
What is the Derivative of tan (x)? - Study.com
WebFeb 19, 2015 · How do you find the antiderivative of tan2(x)dx Calculus Techniques of Integration Integration by Trigonometric Substitution 2 Answers Gió Feb 19, 2015 You can start by writing tan2(x) = sin2(x) cos2(x) giving: ∫tan2(x)dx = ∫ sin2(x) cos2(x) dx = using: sin2(x) = 1 −cos2(x) you get: = ∫ 1 − cos2(x) cos2(x) dx = ∫[ 1 cos2(x) −1]dx = Webtan2 (x) tan 2 ( x) Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f ′ ( g ( x)) g ′ ( x) where f (x) = x2 f ( x) = x 2 and g(x) = tan(x) g ( x) = tan ( x). Tap for more steps... 2tan(x) d dx [tan(x)] 2 tan ( x) d d x [ tan ( x)] theorics
derivative of tan^2(x)
WebWhat is the derivative of tan 2 x? Solution We know that the derivative of tan x is, d d x tan x = sec 2 x Chain rule: d d x f g x = f ' g x · g ' x Differentiate tan 2 x with respect to x, using the chain rule we get d d x tan 2 x = sec 2 2 x d d x 2 x ⇒ d d x tan 2 x = sec 2 2 x · 2 ⇒ d d x tan 2 x = 2 sec 2 2 x WebNov 14, 2024 · It is written as; tan x = sin x / tan x. Derivative of tan square x formula. To find the derivative of tan squared x, we use the formula that involves the sine and cosine functions. The derivative formula for tan squared x is given as: d/dx (tan^2 x) = 2tan x.sec^2 x. By differentiating tan squared x, we get 2tan x multiplied by the secant ... Web使用包含逐步求解过程的免费数学求解器解算你的数学题。我们的数学求解器支持基础数学、算术、几何、三角函数和微积分 ... theo riddick