Question

(1 point) Let $f(x) = -5 + 7\sqrt{x}$. Then the expression \frac{f(x+h) - f(x)}{h} can be written in the form \frac{A}{\left(\sqrt{Bx + Ch}\right) + \left(\sqrt{x}\right)}, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants A = B = C = Use your answer from above to find $\lim_{h\to 0} \frac{f(x + h) - f(x)}{h}$. $\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} = $ Finally, find each of the following: $f'(1) = $ $f'(2) = $ $f'(3) = $

          (1 point) Let $f(x) = -5 + 7\sqrt{x}$. Then the expression \frac{f(x+h) - f(x)}{h} can be written in the form \frac{A}{\left(\sqrt{Bx + Ch}\right) + \left(\sqrt{x}\right)}, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants A =  B =  C =  Use your answer from above to find $\lim_{h\to 0} \frac{f(x + h) - f(x)}{h}$. $\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} = $ Finally, find each of the following: $f'(1) = $ $f'(2) = $ $f'(3) = $

(1 point) Let f(x) = -5 + 7√(x). Then the expression (f(x+h) - f(x))/(h) can be written in the form (A)/((√(Bx + Ch)) + (√(x))), where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants A = B = C = Use your answer from above to find limh→ 0(f(x + h) - f(x))/(h). limh→ 0(f(x+h) - f(x))/(h) = Finally, find each of the following: f'(1) = f'(2) = f'(3) =

Added by Aurora C.

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