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Mathematics 12 Online
OpenStudy (anonymous):

what is derivative??

OpenStudy (anonymous):

A derivative is the slope of the tangent line to the graph of a function at a value of x or the instantaneous rate of change of y with respect to x

OpenStudy (anonymous):

hmmm

OpenStudy (anonymous):

can you give me some examples?

OpenStudy (anonymous):

if function is y = x^2 the slope of its tangent at pt (x,y) is 2x as dy/dx = 2x, dy/dx is the derivative of y wrt x...

OpenStudy (anonymous):

get it?

OpenStudy (anonymous):

yea so so

OpenStudy (anonymous):

see actually derivative means the ratio of change in dependent variable to change in independent variable...dy/dx

OpenStudy (anonymous):

ahh now got it ^^

OpenStudy (anonymous):

so can you give another numeric example?

OpenStudy (anonymous):

Slope of tangent to curve y = 3x^2 at (1,3) dy/dx = 6x slope = dy/dx = 6(1) = 6

OpenStudy (anonymous):

Ahh ok ^^ thanks much ^^

OpenStudy (anonymous):

himm how old are you(interested in ppls age :))

OpenStudy (anonymous):

18

OpenStudy (anonymous):

i am 14

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