Mathematics

Mathematics

Problem

If y=f(x)y=f(x) and dydx∣x=a=7\displaystyle\frac{dy}{dx}\Big|_{x=a}=7, what does the value 77 represent? a) Rate of change of xx with respect to yy at x=ax=a b) Average rate of change of yy with respect to xx over the interval [a,a+1][a,a+1] c) Slope of the tangent to the curve y=f(x)y=f(x) at x=ax=a d) Area under the curve y=f(x)y=f(x) from x=0x=0 to x=ax=a

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