WebFind dy/dx y=e^xsin (x) y = ex sin(x) y = e x sin ( x) Differentiate both sides of the equation. d dx (y) = d dx (exsin(x)) d d x ( y) = d d x ( e x sin ( x)) The derivative of y y … Weby = e(sin2x) dy/dx = d(e(sin2x))/dxxd(sin2x)/dx dy/dx = e(sin2x)xd(sin2x)/dx dy/dx = e(sin2x)x2xcos2x Hence Answer is; dy/dx = 2cos2xe(sin2x) Draw the graph of y = exsinx …

Ifu=tan 1x+y, then x∂u/∂x+y∂u/∂y - BYJU

WebSolution The correct option is B 1 2 sin 2 u Explanation for the correct option: Finding the value of x ∂ u ∂ x + y ∂ u ∂ y. Given, u = tan - 1 ( x + y) Differentiate u partially with respect to x. ∂ u ∂ x = 1 ( 1 + ( x + y) 2) Differentiate u partially with respect to y. ∂ … caodaism history

If u = sin(y/x) where x = e^t, y = t^2, what is the value of du/dt?

WebQuestion 1: Determine the partial derivative of a function f x and f y: if f (x, y) is given by f (x, y) = tan (xy) + sin x Solution: Given function is f (x, y) = tan (xy) + sin x Derivative of a function with respect to x is given as follows: f x = ∂ f ∂ x = ∂ ∂ x [ tan ( x y) + sin x] = ∂ ∂ x [ tan ( x y)] + ∂ ∂ x [ sin x] = sec 2 (xy). y + cos x Web26 jul. 2024 · 1. Find the first derivatives (i) If y = x−1/3, find dy dx y = x - 1 / 3, find d y d x (ii) If x = t6, find dx dt x = t 6, find d x d t (iii) If z = u3, find dz du z = u 3, find d z d u … Web30 mrt. 2024 · Question 16 (OR 1st question) If y = 𝑥^sin⁡𝑥 +sin⁡〖(𝑥^𝑥)〗, find 𝑑𝑦/𝑑𝑥 Let u = 𝑥^sin⁡𝑥 , 𝑣=sin⁡〖(𝑥^𝑥)〗 Thus, y = u + v Differentiating 𝑤.𝑟.𝑡.𝑥 𝑑𝑦/𝑑𝑥 = 𝑑𝑢/𝑑𝑥 + 𝑑𝑣/𝑑𝑥 Calculating derivative of u and v separately Solving 𝒅𝒖/𝒅𝒙 u = 𝑥^sin⁡𝑥 Taking log both sides l british gas breakdown appointments