The function is defined by

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The function

h

is defined by

h(x)=\dfrac{k x}{x+2}

, where the constant

k

is chosen so that the point

(1,\,\tfrac13)

lies on the graph of

h

. Determine the slope of the tangent line to the graph of

h

x=1

Related theory

Interpreting Derivatives
Differentiation Rules
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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