Find an equation of the tangent line to the graph of at the point .

Question

Find an equation of the tangent line to the graph of  at the point  . ​

Quizplus · Accepted Answer

To find the equation of the tangent line, we need to find the derivative of the function at the given point. 
The derivative of 11eb651f_cb33_e7aa_b0a1_890eeaded795_TB8255_11 is:
11eb651f_cb34_0ebb_b0a1_2216d7310d62_TB8255_11 
evaluated at 11eb651f_cb33_e7ab_b0a1_0b7788b298cf_TB8255_11, which is:
11eb651f_cb34_0ebe_b0a1_011279295c73_TB8255_11
Now, we can use the point-slope formula to find the equation of the tangent line:
y - 11eb651f_cb33_e7ab_b0a1_0b7788b298cf_TB8255_11 = 11eb651f_cb34_0ebe_b0a1_011279295c73_TB8255_11(x - 11eb651f_cb33_e7ab_b0a1_0b7788b298cf_TB8255_11)
Simplifying this equation gives:
y = 11eb651f_cb34_0ebe_b0a1_011279295c73_TB8255_11x + 11eb651f_cb1a_0d6c_b0a1_04bfa733d59f_TB8255_11
Therefore, the correct answer is C.

Find an Equation of the Tangent Line to the Graph