Question

An equation for the line tangent to the graph of the differentiable function $f$ at $x = 3$ is $y = 4x + 6$. Which of the following statements must be true? I. $f(0) = 6$ II. $f(3) = 18$ III. $f'(3) = 4$ A. None B. I and II only C. II and III only D. I, II, and III

          An equation for the line tangent to the graph of the differentiable function $f$ at $x = 3$ is $y = 4x + 6$. Which of the following statements must be true?
I. $f(0) = 6$
II. $f(3) = 18$
III. $f'(3) = 4$
A. None
B. I and II only
C. II and III only
D. I, II, and III

An equation for the line tangent to the graph of the differentiable function f at x = 3 is y = 4x + 6. Which of the following statements must be true?
I. f(0) = 6
II. f(3) = 18
III. f'(3) = 4
A. None
B. I and II only
C. II and III only
D. I, II, and III

Added by Timothy R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert William Semus

11/05/2021

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This means that the slope of the tangent line is 4. Show more…

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An equation for the line tangent to the graph of the differentiable function f at x=3 is y=4x+6. Which of the following statements must be true? I. f(0)=6 II. f(3)=18 III. f^(')(3)=4 None (B) I and II only II and III only (D) I, II, and III An equation for the line tangent to the graph of the differentiable function f at = 3 is y= 4+6.Which of the following statements must be true? 1.f(0)=6 1I.f (3)=18 III.f'(3)=4 None B I and II only c II and III only D I, II, and IlI