WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. WebFind the Derivative - d/dx tan (x/2) tan ( x 2) tan ( x 2) 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) = tan(x) f ( x) = tan ( x) and g(x) = x 2 g ( x) = x 2. Tap for more steps... sec2( x 2) d dx[ x 2] sec 2 ( x 2) d d x [ x 2] Differentiate.
y = cos (2 theta), Find the first and second derivatives of the ...
WebYou want to substitute a function in there, so we choose tan (theta) since it is related to sec (theta) by tan^2 (theta) + 1 = sec^2 (theta). So, in order for this substitution to work out okay, you're letting x=a*tan (theta) so that when you write it out, you will end up with a^2+ (a*tan (theta))^2 in your denominator. WebThe Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator … floureon home security camera
What is the derivative of an angle? - Physics Stack …
WebMay 23, 2024 · 1 Answer Y May 23, 2024 y' = − 2csc2(sin(θ))cot(sin(θ))cos(θ) Explanation: Differentiate y = cot2(sinθ) Chain rule: For h = f (g(x)), h' = f '(g(x)) ⋅ g'(x) First we note … WebAug 8, 2024 · Since $e^{i\theta} $ where $0\leq\theta\leq 2\pi $ is paramaterization of the unit circle, I would expect its derivative to vanish, as the tangent line slope in some ... WebFor notational simplicity, we will prove this for a function of \(2\) variables. This implies the general case, since when we compute \(\frac{\partial^2 f}{\partial x_i \partial x_j}\) or \(\frac{\partial^2 f}{\partial x_j \partial x_i}\) at a particular point, all the variables except \(x_i\) and \(x_j\) are “frozen”, so that \(f\) can be considered (for that computation) as a function … flourescein dry eye pattern