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Calculus question

Mathematics
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f(x)=e^(-mx) + 3x
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
differentiate it and put dy/dx=0 at x=6 you will get value of m

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Other answers:

why do we have to put dy/dx = 0, how can we assume gradient of the tangent is 0?
well you can find it other way too your gradient needs to be passing through (0,0)
I found m=0, is it correct
yes , its correct then only its tangent will pass through origin cuz you will get tangent as dy/dx=3x
is m=1/6 also correct?
no, cuz then tangent will not pass through origin

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