differentiate!!!!!!!!!!!!!!!!!!!!

Question

y=70/x^6

Answer 1

y = 70/x⁶

The Rule of exponentiation is: 1/x^p = x ^-p

y = 70(x^-6)

Apply 'derivative with respect to x' each side.

dy/dx = (d/dx)[70(x^-6)]

Power Rule of Derivative: (d/dx)xⁿ = nx^n-1

dy/dx = 70[-6x^-7]

dy/dx = -420x^-7

dy/dx = - 420/(x⁷).

Therefore the derivative of y is -420/x⁷.