WebTo find the derivative of function in the form y = x f ( x), you need to know that ( ln f ( x)) ′ = f ′ ( x) f ( x), so f ′ ( x) = f ( x) ( ln f ( x)) ′ Then differentiate both sides and think that y = f ( … WebImplicit differentiation. To find dy/dx, we proceed as follows:. Take d/dx of both sides of the equation remembering to multiply by y' each time you see a y term.; Solve for y'; …
[Solved] Find dy/dx when a) y = x(x + 3) b) c) d) 3 SolutionInn
Web29 jan. 2024 · lny = sinx lnsinx. We can now readily differentiate wrt x by applying the chain rule (or implicit differentiation the LHS and the chain rule and the product rule on the … WebLet y=log(log(x)) then find dxdy. Easy Solution Verified by Toppr Given, y=log(log(x)) Now differentiating both sides with respect to x we get, dxdy= logx1. x1. Solve any question of Continuity and Differentiability with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions If y=log 7(logx) find dxdy. Easy View solution > mark taylor wolverhampton council
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WebSolution The correct option is B log e x Find the value of d y d x: Given, y = log x x y = x log x [ ∵ l o g a b = b l o g a] Now differentiate with respect to x. Then, d y d x = log x + x 1 x [ ∵ d d x u v = u ' v + v ' u, d d x l o g x = 1 x] = log x + 1 = log x + log e [ ∵ log e = 1] = log e x [ ∵ log a b = l o g a + l o g b] Webd d x [ y ( x)] 3 = 3 [ y ( x)] 2 ⋅ d d x [ y ( x)]. But what is d d x [ y ( x)]? Why exactly what we are looking for d y d x! So we differentiate (**) to generate an equation in x, y and d y d x which we can solve for d y d x in terms of x and y: x 2 ( 3 y 2 d y d x) + 2 x y 3 = 7 − 3 d y d x ⇒ 3 x 2 y 2 d y d x + 3 d y d x = 7 − 2 x y 3 WebIf y = log tan √x then the value of (dy/dx) is: Q. If y = log tan x then the value of dxdy is: 2761 42 Continuity and Differentiability Report Error A 2 x1 B xtanxsec2 x C 2 sec2 x D 2 xtanxsec2 x Solution: Let y = logtan x Diff. both side w.r.t 'x' dxdy = tan x1.dxd (tan x) = tan x1.sec2 x.2 x1 ⇒ dxdy = 2 xtan x1sec2 x naxos best of opera