Answer to Question #94766 in Calculus for Unknown287159

Question #94766

The curve y=X^2+A÷X has the gradient of 7 when X=4.calculate the value of A

Expert's answer

"\\frac{dy}{dx}=2x-\\frac{A}{x^2}"

When x=4: "\\frac{dy}{dx}=8-\\frac{A}{16}"

So, "8-\\frac{A}{16}=7"

and "A=16."

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