WebIf x = 2 a t 1 + t 3 and y = 2 a t 2 1 + t 3 2, then d y d x is equal to: A a x B a 2 x 2 C x a D x 2 a Solution The correct option is C x a Explanation for the correct option: Step -1: Differentiate x w.r.t t: x = 2 a t 1 + t 3, so Webdy sin.y. 2/ D 2y cos.y2/. (b) d dx sin.x. 2/ D 2x cos.x2/ dt dx C sint; so the correct answer is (b). Exercises. 1. Show that if you differentiate both 676 Math Experts. 4.8/5 Ratings 60968+ Delivered assignments If x^2+y^2=25 and dy/dt=6, how do you find dx/dt when y=4. If x^2 + y^2 = 49 and dx/dt = 6, find ...
If x = t^2, y = t^3, then d^2y/dx^2 is A.3/2 B.3/4t C.3/2t D.3/4
WebIf x = at 2 and y = 2at, then show that x y d 2 y d x 2 + a = 0. Advertisement Remove all ads Solution x = at 2 and y = 2at ... (1) Differentiating x and y w.r.t. t, we get dx dt d dt at dx … WebIf y = xx,x > 0 , then dxdy is 2209 75 Limits and Derivatives Report Error A log x B 2 + log x C xxlogx D xx(1+logx) Solution: y = xx ⇒ logy = xlogx ⇒ y1 dxdy = x.x1 + logx.1 ⇒ dxdy = y(1+logx) = xx(1+logx) highlights for dark brown hair to cover gray
Find dy/dx of y = a^x MyTutor
WebExplanation: x = 2at 2 , y = 4at. ∴ dx dt a t and dy dx a dx dt = 2 a ( 2 t) and dy dx = 4 a. ∴ dx dt at and dy dt a dx dt = 4 at and dy dt = 4 a. ∴ dy dx dy dt dx dt 4a 4at t dy dx = dy dt dx … WebFor each part, find dy/dx. (a) y = 3x3 + 2x2 x A. Answer: This time we need to start by finding the time when the object hits ground, so set s(t) = 0 and solve for t. 0 = .8t2 + 1.6t + 2.4 = .8(t2 2t . Get Help. Doing math equations is a great way to keep your mind sharp and improve your problem-solving skills. WebThis book of problems is intended as a textbook for students at higher educational institutions studying advanced course in physics. Besides, because of the great number of simple problems it may be used by students studying a general course in physics. small plate recipes uk