for the function f(x)=x^3 the rate of change at x=c is e^3 times the rate of change at x=2, what does c=?
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Originally Posted by 333arizona for the function f(x)=3x^2 the rate of change at x=c is e^3 times the rate of change at x=2, what does c=? $\displaystyle f'(x)=6x$ so we know that $\displaystyle f'(c)=f'(2)\cdot{e^3}$ inputting our values we get $\displaystyle 6c=e^{3}\cdot{12}\Rightarrow{c=2e^{3}}$
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