Home › TS EAPCET (Engineering) › Mathematics › Differentiation › For x = t^2 and y = t^3 with t not 0, dy/dx equals
For x = t^2 and y = t^3 with t not 0, dy/dx equals
A3t^2
B2t/3
C3t/2
Dt^2
Answer & Solution
Correct answer: C. 3t/2
dy/dt = 3t^2 and dx/dt = 2t, so dy/dx = 3t^2 / 2t = 3t/2.
Related questions
The derivative of ln x at x = 2 isFor x not equal to 0, d/dx of x^-2 equalsIf f is differentiable, then d/dx of 5f(x) equalsLogarithmic differentiation is useful mainly because logarithmsThe function y = x^(1/3), inverse of x^3, is not differentiable atThe discrete counterpart of differentiation isWhich derivative notation is named after Gottfried Leibniz?Differentiating a polynomial again and again eventually gives