If an Equation of the Tangent Line to the Curve $y = f ( x )$

question 4

Multiple Choice

If an equation of the tangent line to the curve $y = f ( x )$ at the point where $a = 8 \text { is } y = 4 x - 7 \text {, }$ $\text { find } f ( 8 ) \text { and } f ^ { \prime } ( 8 ) \text {. }$

• A) \(\begin{array} { l }
• f ( 2 ) = 25 \\
• f ^ { \prime } ( 2 ) = 3
• \end{array}\)
• B) \(\begin{array} { l }
• f ( 2 ) = - 8 \\
• f ^ { \prime } ( 2 ) = 8
• \end{array}\)
• C) \(\begin{array} { l }
• f ( 2 ) = 7 \\
• f ^ { \prime } ( 2 ) = 4
• \end{array}\)
• D) \(\begin{array} { l }
• f ( 2 ) = 25 \\
• f ^ { \prime } ( 2 ) = 4
• \end{array}\)
• E) None of these

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Definitions:

Simp

A slang term used to describe someone who performs excessive sympathy or attention towards another person, typically someone they're interested in, often disregarding their own needs or interests.

Conj

Short for "conjunction," it refers to a logical connector that combines two statements in such a way that the combined statement is true only if both individual statements are true.

Add

The mathematical process of finding the total or sum by combining two or more numbers.

T

Could refer to a variable in mathematics or physics, often representing time.