Estimate the slope of the tangent to the graph of the following function at the point .
A)6
B)-6
C)18
D)-11
E)11

Question

Estimate the slope of the tangent to the graph of the following function at the point  . 
A)6 
B)-6 
C)18 
D)-11 
E)11

Quizplus · Accepted Answer

Using the power rule, we can find that the derivative of the given function is $g'(x) = -6x^5$. Evaluating this at the point $x=11ebfe6a_2cbf_ae7a_96cc_f3535ed956b4_TBX8650_11$, we get $g'(11ebfe6a_2cbf_ae7a_96cc_f3535ed956b4_TBX8650_11)=-6(11ebfe6a_2cbf_ae7a_96cc_f3535ed956b4_TBX8650_11)^5$. This gives us the slope of the tangent line. Since this value is negative, the correct choice is (B).

Estimate the Slope of the Tangent to the Graph of the Following