DIFFERENTIATION: MATHS IMP QUESTION SERIES | #1 PYQ | HSC 2024 EXAM MAHARASHTRA BOARD | DINESH SIR

If x = f(t) and y = g(t) are differentiable functions of so that y is differentiable function of x and (dx)/(dt) ne0 then prove that:
d/dx (y) = (d/dt (y))/(d/dt (x))
Hence find y = cos t
d/dx (y)
if x = sin t and
[Mar 2022]

If y = f(x) is a differentiable function of x on an interval I and y is one-one, onto and (dy)/(dx) ne0 on
1. then prove that (dy)/(dx) ne0 dr dy dy dx Hence prove that where d/dx (arccot(x)) = - 1/(1 + x ^ 2)
[July 2023]

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