If y-x2-2 x-3 x-4- then d y-d x-A- -3 x2-4 x-8-3 x-42B- 3 x2-8 x-8-3 x-423 x2-8 x-8-3 x-42D- none of these

The correct option is B Here u(x)=x^2+2x,v(x)=3x 4 Using quotient rule, dy/dx= (3x 4)d(x^2+2x)/dx (x^2+2x)d(3x 4)/ dx/(3x 4)^2 = (3x 4)(2x+2 (x^2+2x3))/(3 ...

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Byju's Answer

Standard XI

Mathematics

Infinite GP

If y=x2+2 x/3...

Question

If $y = \frac{(x^{2} + 2 x)}{(3 x - 4)}, t h e n \frac{d y}{d x} = ?$

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none of these

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Solution

The correct option is B

$H e r e u (x) = x^{2} + 2 x, v (x) = 3 x - 4 U s i n g q u o t i e n t r u l e, \frac{d y}{d x} = \frac{(3 x - 4) \frac{d (x^{2} + 2 x)}{d x} - (x^{2} + 2 x) \frac{d (3 x - 4)}{} d x}{(3 x - 4)^{2}} = {\frac{(3 x - 4) (2 x + 2 - (x^{2} + 2 x 3))}{(3 x - 4)}}^{2} = \frac{3 x^{2} - 8 x - 8}{(3 x - 4)^{2}}$

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If y=(x2+2x)(3x−4), then dydx=?

The correct option is B Here u(x)=x2+2x,v(x)=3x−4Using quotient rule,dydx=(3x−4)d(x2+2x)dx−(x2+2x)d(3x−4)dx(3x−4)2=(3x−4)(2x+2−(x2+2x3))(3x−4)2=3x2−8x−8(3x−4)2

If $y = \frac{(x^{2} + 2 x)}{(3 x - 4)}, t h e n \frac{d y}{d x} = ?$