Part 1: The derivative at a specific point Use the definition of the derviative to compute...

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Part 1: The derivative at a specific point Use the definition of the derviative to compute the derivative of f(2)=√z+7 at the specific point-2. Evaluate the limit by using algebre to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box) (0)-0 = ( 1(2 + 4) = 1(2)) - A f(2)= lim -lim A Hint: use the conjugate trick Part 2: The derivative function Use the definition of the derivative to compute the derivative of the function f(z) Va+Tat an arbitrary point a Evaluate the limit by using algebra to simplify the difference quotient in first answer box) and then evaluating the limit (in the second answer box). 2)-(0)-0 f'(x)=lim f(x+h)-f(x) A Hint: use the conjugate trick Part 3: The tangent line Now let's calculate the tangent line to the function f(a)=√z+7sz=4 a. By using f'(2) from part 2, the slope of the tangent line to fatz - 4is (4) - b. The tangent line to fat - 4 passes through the point (4. (4))-on the graph of f(Enter a point in the form (2, 3) including the parentheses) c. An equation for the tangent line to fata-sy- Part 1: The derivative at a specific point Use the definition of the derviative to compute the derivative of f(2)=√z+7 at the specific point-2. Evaluate the limit by using algebre to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box) (0)-0 = ( 1(2 + 4) = 1(2)) - A f(2)= lim -lim A Hint: use the conjugate trick Part 2: The derivative function Use the definition of the derivative to compute the derivative of the function f(z) Va+Tat an arbitrary point a Evaluate the limit by using algebra to simplify the difference quotient in first answer box) and then evaluating the limit (in the second answer box). 2)-(0)-0 f'(x)=lim f(x+h)-f(x) A Hint: use the conjugate trick Part 3: The tangent line Now let's calculate the tangent line to the function f(a)=√z+7sz=4 a. By using f'(2) from part 2, the slope of the tangent line to fatz - 4is (4) - b. The tangent line to fat - 4 passes through the point (4. (4))-on the graph of f(Enter a point in the form (2, 3) including the parentheses) c. An equation for the tangent line to fata-sy-