Question

If f(x) = 4x + 2/x, f'(4) = Use this to find the equation of the tangent line to the curve y = 4x + 2/x at the point (4, 16.5). Write your answer in the form: y = mx + b, where m is the slope and b is the y-intercept.

          If f(x) = 4x + 2/x,
f'(4) =
Use this to find the equation of the tangent line to the curve y = 4x + 2/x at the point (4, 16.5). Write your answer in the form:
y = mx + b, where m is the slope and b is the y-intercept.

Added by Tamara J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

03/15/2023

Step 1

The derivative of a constant times x is the constant, and the derivative of a constant is 0. So, the derivative of f(x) is: f'(x) = 4 Now, we need to find the value of the derivative at x = 4: f'(4) = 4 The slope of the tangent line at the point (4, 16.5) is Show more…

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If f(x) = 4x + 2/x, f'(4) = Use this to find the equation of the tangent line to the curve y = 4x + 2/x at the point (4, 16.5). Write your answer in the form: y = mx + b, where m is the slope and b is the y-intercept.