Question

Find the derivative of the function by using the definition. Then determine the values for which the function is differentiable. \(y = \frac{5x}{x - 4}\) \(y' = \) Choose the correct answer below. Fill in the blank to complete the answer as needed. A. The function, y, is differentiable for all real numbers except \(x = \) B. The function, y, is not differentiable. C. The function, y, is differentiable for all real numbers.

          Find the derivative of the function by using the definition. Then determine the values for which the function is differentiable.
\(y = \frac{5x}{x - 4}\)
\(y' = \)
Choose the correct answer below. Fill in the blank to complete the answer as needed.
A. The function, y, is differentiable for all real numbers except \(x = \)
B. The function, y, is not differentiable.
C. The function, y, is differentiable for all real numbers.

Find the derivative of the function by using the definition. Then determine the values for which the function is differentiable.
y = (5x)/(x - 4)
y' =
Choose the correct answer below. Fill in the blank to complete the answer as needed.
A. The function, y, is differentiable for all real numbers except x =
B. The function, y, is not differentiable.
C. The function, y, is differentiable for all real numbers.

Added by Juan Antonio H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shumayal N

06/13/2020

Step 1

Using the definition of the derivative, we have: y^(') = lim(h->0) [(5(x+h)/(x+h-4) - 5x/(x-4))/h] y^(') = lim(h->0) [(5x + 5h)/(x+h-4) - 5x/(x-4))/h] y^(') = lim(h->0) [(5x + 5h)(x-4) - 5x(x+h-4)]/(h(x+h-4)(x-4)) y^(') = lim(h->0) [5x^2 - 20x + 5hx - 20h - 5x^2 - Show more…

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Find the derivative of the function by using the definition. Then determine the values for which the function is differentiable. y=(5x)/(x-4) y^(')= Choose the correct answer below. Fill in the blank to complete the answer as needed. A. The function, y, is differentiable for all real numbers except x= B. The function, y, is not differentiable. C. The function, y, is differentiable for all real numbers. y= x-4 y= 5x differentiable. O c.The function, y, is differentiable for all real numbers. O B.The function, y, is not differentiable. Choose the correct answer below. Fill in the blank to complete the answer as needed. ... Find the derivative of the function by using the definition. Then determine the values for which the function is