Question

a wire of resistance 9 ohm is cut into 3 equal peices which are joined to form a triangle. the equivalent resistance between any two vertices of the triangle is​

Answer 1

Differentiating both sides with x —

dy/dx = d(2x+1)^5 / dx

Applying chain rule —

dy / dx = d(2x+1)^5/dx x d(2x+1)/d(2x+1)

dy / dx = d(2x+1)^5 / d(2x+1) x d(2x+1)/ dx

Like dy / dx * dc/dc = dy / dc * dc/dx

dy / dx = 5*(2x+1)^4 x 2

Thus answer is —

dy/dx = 10* (2x+1)^4