Question

Calculus question

Answer 1

f(x)=e^(-mx) + 3x

Answer 2

For a particular value of m, the tangent of the graph y = f(x) at x = -6 passes through the origin. Find this value of m

Answer 3

differentiate it and put dy/dx=0 at x=6 you will get value of m

Answer 4

why do we have to put dy/dx = 0, how can we assume gradient of the tangent is 0?

Answer 5

well you can find it other way too your gradient needs to be passing through (0,0)

Answer 6

I found m=0, is it correct

Answer 7

yes , its correct then only its tangent will pass through origin cuz you will get tangent as dy/dx=3x

Answer 8

is m=1/6 also correct?

Answer 9

no, cuz then tangent will not pass through origin