How do you find the derivative of f(x)=-9/xf(x)=−9x?
1 Answer
May 30, 2016
Explanation:
Begin by writing f(x)
=-9/x=-9x^-1=−9x=−9x−1 now differentiate using the
color(blue)"power rule"power rule
d/dx(ax^n)=nax^(n-1)ddx(axn)=naxn−1
rArrd/dx(-9x^-1)=(-1)xx(-9)x^(-1-1)=9x^-2=9/x^2⇒ddx(−9x−1)=(−1)×(−9)x−1−1=9x−2=9x2
