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Mathematics 13 Online
OpenStudy (anonymous):

PLEASE HELP ASAP. THANK YOU Consider the following. f(x) = 3x^3 + 6x^2, x = − 1/2 For the given function, find the point of tangency and slope of the tangent line at the indicated value of x.

OpenStudy (diamondboy):

d slope of d tangent line= derivative of f(x)

OpenStudy (diamondboy):

den plug in d value of x given yo u into d derivative of f(x)

OpenStudy (anonymous):

Wait so I did the derivative and got 9x^2 + 12x...thats my slope of the tangent line?

jimthompson5910 (jim_thompson5910):

now you plug x = -1/2 into 9x^2 + 12x to get your tangent slope

jimthompson5910 (jim_thompson5910):

to find the point of tangency, you plug x = -1/2 into the function itself to get the y coordinate

OpenStudy (diamondboy):

^ correct @jim_thompson5910

OpenStudy (anonymous):

so I got 33/4...is that right for the tangent slope??

jimthompson5910 (jim_thompson5910):

incorrect

OpenStudy (anonymous):

so I made a stupid error, and tried it again and got -3.75

OpenStudy (diamondboy):

|dw:1425092321189:dw|

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