Question

Ify=x5thendydx=________

  1. 5x
  2. 6x
  3. 5x4
  4. 5x2

Answer: 5x4

Solution :-

Given thaty=x5

differentiate with respect to x , we get

dydx=d(x5)dx=5x51(d(xn)dx=nxn1)=5x4

So, correct answer is option-3, 5x4