Let y = x 3 – 8x + 7 and x = f (t). If dy dt = 2 and x = 3 at t = 0, then dx dt at t = 0…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let y = x3 – 8x + 7 and x = f (t). If \(\frac{\mathrm{dy}}{\mathrm{dt}}\) = 2 and x = 3 at
t = 0, then \(\frac{\mathrm{dx}}{\mathrm{dt}}\) at t = 0 is given by
t = 0, then \(\frac{\mathrm{dx}}{\mathrm{dt}}\) at t = 0 is given by
- 1
- \(\frac{19}{2}\)
- \(\frac{2}{19}\)
- None of these
Answer
(C) 2 19
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- f is defined in [–5, 5] as f(x)= array l x, if x is rational -x, if x is irrational array . Then
- Let f: [ 1 2 , 1 ] R (the set of all real numbers) be a positive, non-constant and differentiable function…
- If G(x)=- 25-x^ 2 then _ x 1 ( G(x)-G(1) x-1 )=
- Consider two functions f (x) = _ n ( x n )^ n and g(x) = –x 4b where b = _ x ( x^ 2 +x+1 - x^ 2 +1 ) Then. f…
- Let x 0 be the real number such that e x 0 + x 0 = 0 . For a given real number α, define g(x)= 3 x e^ x +3 x…
- Limit _ x 2 (e^ x-2 -1 ) (x-1) =
- Let [ x ] be the greatest integer less than or equals to x . Then, at which of the following point(s) the…
- If y = a ln x + bx 2 + x has its extremum values at x = –1 and x = 2, then
More Limit, Continuity and Differentiability questions · Browse all practice questions