Question

f(x) = (1/2)x ln(x^4), (−1, 0)
(a) Find an equation of the tangent line to the graph of f at the given point.

Answer 1

hey can you please help me.

Answer 2

well, we need to get the derivaitve of this fucntion. It is : (1/2)(log(x^4)+4)

Answer 3

now simply plug in -1

Answer 4

that will get you the slope

Answer 5

then using that point (-1,0), and a bit of algebra deterime the equation of the line

Answer 6

umm when i plug -1 i get no solution

Answer 7

f'(x)= (1/2)ln(x^4)+2
f'(-1)=2
---> equation of the tangent line is
y=2x+2

Answer 8

no solution, thats not right, are you sure you are evluating correctly

Answer 9

is raheen right

Answer 10

.....

Answer 11

yes