Question: Use the function below to answer parts (a)-(c). f ( x ) = X (a) Use the formal definition to find the derivative of y


Use the function below to answer parts (a)-(c). f ( x ) = X (a) Use the formal definition to find the derivative of y = f(x) at x = 5. (b) Find f(5) and find the equation of the normal line at the point (5, f(5)). (c) Graph y = f(x) and the tangent line at the point (5, f(5)) in the same coordinate system. (a) The derivative of a function f at x, denoted by f'(x), is f'(x) = lim (X + h) -f(x) h - 0 h provided that the limit exists. Use the definition of the derivative of f at x to find the derivative of the given function f(x) when x = 5. X f' (5) = lim h - 0 h Evaluate the limit expression to find f'(5). f' (5) = (Type an integer or a fraction.) (b) f(5) = (Type an integer or a fraction.) The equation of the normal line at (5, f(5)) is . (Type an equation. Use integers or fractions for any numbers in the equation.) (c) Choose the correct graph below. OB. O C. O D
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