Difference between revisions of "009A Sample Final 3, Problem 3"

Revision as of 19:32, 17 February 2017

Find the derivative of the following function using the limit definition of the derivative:

f(x)=3x-x^{2}

Solution:

(a)

Step 2:

(b)

Step 1:

Step 2:

(c)

@@ Line 1: / Line 1: @@
-<span class="exam">Compute
+<span class="exam">Find the derivative of the following function using the limit definition of the derivative:
-::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math>
+::<span class="exam"><math>f(x)=3x-x^2</math>
-::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
-::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"