The Figure Shows a Curve $C$ Given by a Vector Function $\mathbf { r } ( t )$

question 8

Multiple Choice

The figure shows a curve $C$ given by a vector function $\mathbf { r } ( t )$ . Choose the correct expression for $\mathbf { r } ^ { \prime } ( 4 )$ .

• A) \(\lim _ { h \rightarrow 0 } \frac { r ( 4 - h ) + r ( 4 ) } { h }\)
• B) \(\lim _ { h \rightarrow 0 } \frac { r ( 4 + h ) - r ( 4 ) } { h }\)
• C) \(\lim _ { h \rightarrow 0 } \frac { r ( 4 + h ) - r ( h ) } { h }\)
• D) \(\lim _ { h \rightarrow 0 } \frac { r ( 4 - h ) - r ( 4 ) } { h }\)
• E) \(\lim _ { h \rightarrow 0 } \frac { r ( 4 + h ) + r ( 4 ) } { h }\)

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