Let x = sin ( ln t) and y = cos ( ln t) then d ^ 2 y dx ^ 2 is
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let x = sin (ln t) and y = cos (ln t) then \(\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}\) is
- \(-\frac{1}{\mathrm{y}^{2}}\)
- \(-\frac{1}{\mathrm{y}^{3}}\)
- \(\frac{1}{\mathrm{y}^{2}}\)
- \(\frac{1}{\mathrm{y}^{3}}\)
Answer
(B) - 1 y ^ 3
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If f(1) = 1, f'(1) = 3, then the derivative of f(f(f(x))) + (f(x)) 2 at x = 1 is
- Let (h, k) be a fixed point, where h > 0, k > 0 . A straight line passing through this point cuts the…
- Assertion : The equation 3x 2 + 4ax + b = 0 has at least one root in (0, 1), if 3 + 4a = 0 . Reason : f (x) =…
- The point on the curve y-e^ x y +x=0 at which curve have vertical tangent is
- Assertion : The ratio of length of tangent to length of normal is directly proportional to the ordinate of…
- The value of array l _ x 0 ( 1+ x 1+ x )^ casec x i5... array
- The two curves y = 3 x and y = 5 x intersect at an angle
- Let f ´ (sin x) f ´´ (sin x) > 0 x (0, 2 ) Now consider a function g (x) = f (sin x) + f (cos x) g (x)…
More Limit, Continuity and Differentiability questions · Browse all practice questions