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CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3B (Short Answer Type Questions)
- Let f(x)=4x^(3)+x^(2)-4x-1. The equation f(x)=0 has roots 1 and (-(1)/...
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- If f(x) is a polynomial, show that between two roots of the polynomial...
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- If f(x)=(x-1)(x-2)(x-3)(x-4), show that the equation f'(x)=0 has thre...
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- Show that the equation e^(x-1)+x-2=0 has no real root which is less t...
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- If the function f(x)=x^(3)+ax^(2)-bx+4 defined in -2 le x le 2 satisfi...
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- Using Rolle's theorem, find the point on the curve y=x(x-4), x in [0...
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- Using Rolle's theorem, find the point on the curve f(x)=(1-cosx)" i...
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- At what point is the tangent to the curve f(x)=log x parallel to the c...
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- In the mean value theorem f(b)-f(a)=(b-a)f'(c ), (a lt c lt b)," if " ...
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- In the mean value theorem, f(a+h)=f(a)+hf'(a+theta h) (0 lt theta lt 1...
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- In the mean value theorem, f(x+h)=f(x)+hf'(x+theta h)(0 lt theta lt 1...
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- Using Lagrange's mean value theorem prove that, e^(x) gt 1 +x
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- Using Lagrange's mean value theorem prove that, log (1+x) lt x ("wh...
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- Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot
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- Using Lagrange's mean value theorem prove that, (b-a)sec^(2)a lt ta...
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- If f(x)=(1)/(x), then find the value of theta in the mean value theor...
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- Using Lagrange's mean value theorem, find a point on the curve y=sqrt(...
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- Using Lagrange's mena value theorem, find a point on the curve y=x^(2)...
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