Question

find the derivative of X raise to 5​

Answer 1

Explanation:

the derivative of xⁿ is given by nx^n-1

so,x^5 is 5x⁴

for the derivation of it.

we know

dy/dx= lim (h-->0) f(x+h)-f(x)/h

d(x^5)/dx=lim (h-->0) (x+h)^5-x^5/h

d(x^5)/dx=lim (h-->0) (x+h)^5-

x^5/x+h-x

d(x^5)/dx=5x⁴