Question

If vis the velocity of a particle moving in a straight line
and a is acceleration of the particle, then the speed of
the particle would be decreasing if​

Answer 1

This is also the chain rule but with less steps:

Consider (2x+1) is any variable and differentiate it the same way as you would differentiate y=x^n

Which is dy/dx = n*x^(n-1)

So differentiation the main equation we get,

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

[The point to be noted here is after differentiating the bracket considering it as a variable, we need to again mulply with the differential of the bracket wrt x]

So we get,

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

And that’s your answer…

Do remember the following Chain Rule:

dy/dx= (dy/da)* (da/dx)

Hope it helps…

Feel Good ;)