Chapter 2: Q. 60 (page 185)
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
Short Answer
The equation of tangent is
Chapter 2: Q. 60 (page 185)
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The tangent line to at
The equation of tangent is
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Get started for freeFor each function graphed in Exercises 65-68, determine the values of at which fails to be continuous and/or differentiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.
State the chain rule for differentiating a composition of two functions expressed
(a) in โprimeโ notation and
(b) in Leibniz notation.
Use (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23โ38.
24.
Prove the difference rule in two ways
a) using definition of the derivative
b) using sum and constant multiple rules
Find the derivatives of the functions in Exercises 21โ46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
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