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Use the definition of the derviative to compute the derivative of f(x) = √√x + 4 at the specific point x = 3. 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). f'(3) = lim h→0 - f(3+ h) − f(3) h = lim h→0 1 √7+h-√7 = Hint: use the conjugate trick. 1 2√7

Use the definition of the derviative to compute the derivative of f(x) = √√x + 4 at the specific point x = 3. 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). f'(3) = lim h→0 - f(3+ h) − f(3) h = lim h→0 1 √7+h-√7 = Hint: use the conjugate trick. 1 2√7

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 25E
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The simplified expression I have is wrong but the answer is right. I need help with the simplified expression. 

Use the definition of the derviative to compute the derivative of f(x) = √√x + 4 at the specific point x = 3. 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). f'(3) = lim h→0 - f(3+ h) − f(3) h = lim h→0 1 √7+h-√7 = Hint: use the conjugate trick. 1 2√7
Transcribed Image Text:Use the definition of the derviative to compute the derivative of f(x) = √√x + 4 at the specific point x = 3. 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). f'(3) = lim h→0 - f(3+ h) − f(3) h = lim h→0 1 √7+h-√7 = Hint: use the conjugate trick. 1 2√7
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