Find dy if y=t² & t = √h and h = x² dx

Q: f = y/x

A: Given function f=yx The gradient of the function f(x,y) is given by ∇f=∂f∂xi^+∂f∂yj^.

Q: Find d²y dx where √y + 3xy = 3. +3 dx

A: To find dx2d2y​ where y​+3xy=3, we first need to implicitly differentiate the equation with respect…

Q: Find the value of dy/dx if x = t2/(5+t)  and y= sqrt (5+t2)

A:

Q: y = Vx, 1sx5 5 dx =

A:

Q: xᵒe -33 dx

A: Given,        ∫0∞x6e-3xdx