What is the gradient of this equation of the curve y=2x+(8/x^2)?

1 Answer
Jim G.
Mar 20, 2018

dy/dx=2-16/x^3

Explanation:

m_(color(red)"tangent")=dy/dx" at x = a"

"differentiate using the "color(blue)"power rule"

•color(white)(x)d/dx(ax^n)=nax^(n-1)

y=2x+8/x^2=2x+8x^-2

rArrdy/dx=2-16x^-3=2-16/x^3larrcolor(red)"gradient function"

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