 |
| ||
| |||
|
| Math Central | Quandaries & Queries |
|
Question from Jasem: Suppose that (A) Find an equation for the tangent line to the graph of f(x) at x=2 (B) Find all values of xx where the tangent line is horizontal, and enter them as a comma-separated list (e.g., 2,-3,6). If there are none, enter none. Values of x |
Hi Jasem,
Use the power rule and the chain rule to differentiate
\[f(x) = (3x - 3)^{1/2}.\]
In the expression for $f^{\prime}(x)$ the term $(3x - 3)$ has a negative exponent. Write the expression for $f^{\prime}(x)$ as a fraction.
For (A) use the value of the derivative at $x = 2$ to write an equation for the tangent to $f(x)$ at the point $\left(2, f(2)\right).$
For (B) solve $f^{\prime}(x) = 0.$
Penny
| ||
| ||
| ||
 |
 |
|
|
||
 |
||
| * Registered trade mark of Imperial Oil Limited. Used under license. | |
|
Math Central is supported by the University of Regina and the Imperial Oil Foundation.