Tocalculate:The derivatives of the function
Answer to Problem 18E
The required derivative of
Explanation of Solution
Given information:
The algebraic equation
Point on the tangent
Formula used:
First order differentiation rule:
Where
General form of a straight line:
Calculation:
The given algebraic equation is
Find the derivative of the above equation.
Substitute the value 3 for
Thus, the slop of the tangent is
Calculate the y intercept.
Substitute the value 3 for
It is known that the general form of a straight line is
Substitute the value
Thus, the equation of the tangent line is
Hence, the required derivative of
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
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