Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$

question 98

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ . $f ( x ) = 5 \sqrt { x }$

• A) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - \frac { 5 } { 2 \sqrt { x } }\)
• B) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = \frac { 7 } { 2 \sqrt { x } }\)
• C) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = \frac { 3 } { 2 \sqrt { x } }\)
• D) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = \frac { 5 } { 2 \sqrt { x } }\)
• E) \(\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h } = - \frac { 7 } { 2 \sqrt { x } }\)

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Definitions:

Color Vision

The ability of the visual system to distinguish objects based on the wavelengths of the light they reflect, emit, or transmit.

Retinal Cells

Cells located in the retina of the eye, responsible for converting light into electrical signals for vision.

Retina

The light-sensitive layer at the back of the eye that converts light images into electrical signals sent to the brain.

Lens

In psychology, a metaphor for the perspective or viewpoint through which individuals perceive and interpret their environment.