If y= (1)/(a-z), then (dz)/(dy) is ….......

If `y= (1)/(a-z)`, then `(dz)/(dy)` is …............ .

`(a - z)^(2) `

`-(z - a)^2`

`(z+a)^2`

`(-z+a)^2`

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FULL MARKS-DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 5 (Choose the correct or the most suitable answer from the given four alternatives.)

If y = (1)/(4) mu^(4), mu= (2)/(3) x^(3) +5, then (dy)/(dx) is...........
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If f(x) = x^(2) -3x, then the point at which f'(x) = f(x) are…...........
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If y= (1)/(a-z), then (dz)/(dy) is …............ .
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If y = cos ( sin x^2), then (dy)/(dx) at x= sqrt(pi)/(2) is …...........
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If y = mx + c and f(0) = f'(0) =1, then f(2) is …......... .
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If f(x)=xtan^(-1)x, then f'(1) is
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(d)/(dx) (e^(x + 5 log x)) is …........... .
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If the derivative of (ax - 5)e^(3x) at x=0 is -13, then the value of a...
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x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)) " then " (dy)/(dx) is
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If x= a sin theta and y =b cos theta, then (d^2 y)/(dx^2) is…............
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The differential coefficient of log(m) x with respect to log(x) m is …...
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If f(x) = x+2, then f'(f(x) ) at x=-4 is…......... .
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If y = ((1-x)^2)/(x^2), then (dy)/(dx) is…........ .
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If pv = 81, then (dp)/(dv) at v=9 is …............. .
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If f(x) = {{:(x-5, "if" , x le 1),(4x^2-9, "if", 1 lt x lt 2),(3x+4 ,"...
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It is given that f'(a) exists, then underset(x to a) (lim) (x f(a) - a...
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If f(x) = {{:(x+1, "when" , x lt 2),(2x-1, "when" ,x ge 2):}, then f'(...
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If g(x) = (x^2 + 2x +3) f(x) and f(0) = 5 and underset( x to 0) (lim) ...
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If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):}, then at x=3...
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The derivative of f(x) = x |x| at x=-3 is …............ .
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