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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- If sinx = (2t)/(1+t^2), tan y = (2t)/(1-t^2), find dy/dx
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- If y=sec^-1(1/(4x^3 -3x)), find dy/dx
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- Find dy/dx when tan^-1(x^2+y^2)=0
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- Examine the differentiability of the function f(x) = {:{(x[x], if 0 le...
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- Show that |x-5| is continuous but not differentiable at x =5.
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- A function f : R rarr R satisfies the equation f(x = y) = f(x) . f(y) ...
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- If x=e^(x//y), prove that (dy)/(dx) = (x-y)/(xlogx)
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- Verify the Lagrange's Mean Value Theorem for the functions: f(x) = 1...
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- Verify LMV Theorem for the following: f(x) = sin x - sin 2x in[0,pi]
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- Verify LMV Theorem for the following: f(x) = sqrt(25-x^2)in[1,5]
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- The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...
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- The function f(x) = [x], where [x] denotes the greatest integer functi...
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- The value of 'k' which makes the function defined by : f(x) = {:{(sin(...
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- If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is
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- If x=t^2, y = t^3, then (d^2y)/(dx^2) is
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- The value of 'c' in Rolle's Theorem for the function f(x) =x^3 - 3x in...
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- The value of 'c' in mean Value Theorem for the function f(x) =x(x-2) i...
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- The derivative of f(x) =|x | at x=0 is
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- The derivative of log(ax+b) is
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- If f(x) = {:{(kx+1,xle5),(3x-5,x>5):} s is a continuous function then ...
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