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Grade 12Differential Calculus

Hi,

I am confused about the The Quotient Rule if any one can explain the basic Idea of this?

Thanks

Profile image of ronit bhatiya
17 Years agoGrade 12
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1 Answer

Profile image of askIITIians  Expert
17 Years ago

The quotient f/g, of two differentiable functions, f and g, is itself differentiable at all values of x for which g(x) does not = 0. Moreover, the derivative of f/g is given by the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator divided by the square of the denominator.

d/dx[ f(x)/g(x) ] = (g(x)f'(x) - f(x)g'(x)) / [g(x)]2      g(x) does not = 0

Thanks