If both f(x) and g(x) are non-differenti...

If both `f(x)` and `g(x)` are non-differentiable at `x=a` then `f(x)+g(x)` may be differentiable at `x=a`

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If f(x) and g(x) are differentiable function then show that f(x)+-g(x) are also differentiable such that d(f(x)+-g(x))/(dx)=d(f(x))/(dx)+-d(g(x))/(dx)

If f(x) and g(x) are two differentiable functions, show that f(x)g(x) is also differentiable such that (d)/(dx)[f(x)g(x)]=f(x)(d)/(dx){g(x)}+g(x)(d)/(dx){f(x)}

f(x) is differentiable function and (f(x).g(x)) is differentiable at x=a. Then a.g(x) must be differentiable at x=a b.if g(x) is discontinuous,then f(a)=0 c.if f(a)!=0 then g(x) must be differentiable d.none of these

If f(x) and g(x) a re differentiate functions, then show that f(x)+-g(x) are also differentiable such that (d)/(dx){f(x)+-g(x)}=(d)/(dx){f(x)}+-(d)/(dx){g(x)}

Let f(x)=|x| and g(x)=|x^(3)|, then f(x) and g(x) both are continuous at x=0 (b) f(x) and g(x) both are differentiable at x=0 (c) f(x) is differentiable but g(x) is not differentiable at x=0 (d) f(x) and g(x) both are not differentiable at x=0

Let f(x)=|x| and g(x)=|x^3|, then (a)f(x)a n dg(x) both are continuous at x=0 (b)f(x)a n dg(x) both are differentiable at x=0 (c)f(x) is differentiable but g(x) is not differentiable at x=0 (d)f(x) and g(x) both are not differentiable at x=0

Statement-1: If f and g are differentiable at x=c, then min (f,g) is differentiable at x=c. Statement-2: min (f,g) is differentiable at x=c if f(c ) ne g(c )

Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| Which of the following statement is correct ? g(x) is differentiable at x=0 g(x) is differentiable at x=2

If f(x) and g(f) are two differentiable functions and g(x)!=0, then show trht (f(x))/(g(x)) is also differentiable (d)/(dx){(f(x))/(g(x))}=(g(x)(d)/(pi){f(x)}-g(x)(d)/(x){g(x)})/([g(x)]^(2))

A DAS GUPTA-Differentiation-Exercise

If phi(x)= |[1,2x,3x^2], [x,x^2,x^4], [0,2,6x]| then phi'(1)=
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The value of (dy/dx){(1,1)} for the curve 2y = 3 -x^2 is
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Let y =log(e)sin(x^2),0ltxlepi/2. The value of dy/dx at x= sqrt(pi/2) ...
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If f(x) = log ex then the differential coefficent of f(logex) with res...
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If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...
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If f(x) = tan^-1 {1/x (sqrt(1+x^2))} then f'(0) is
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If t=e^x and y=t^2-1 then (dy/dx) at t=1 is
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x^3-2x^2y^2+5x+y-5=0, then find (d^2y)/(dx^2) at x=1, y=1
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Let f(x)=|x^3sinxcosx6-1 0p p^2p^3|,w h e r ep is a constant. Then (d...
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The derivative of an even function is always an odd function.
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If both f(x) and g(x) are non-differentiable at x=a then f(x)+g(x) may...
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If y=f((2x-1)/(x^2+1)) and f^(prime)(x)=sinx^2 , find (dy)/(dx) .
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Q.14 Let f(x) = (ax + b) cosx + (cx + d) sinx andf'(x) = x cosx for al...
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If f(x) = |x - 1| and g(x) = f(f(f(x))) then for x gt 2, g'(x) =
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(d(x^(logx)))/(d(logx))=
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Find dy/dx in terms of x if t= x/(1+x^2), y=x^2+t^2.
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If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...
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If y=f(x),p=(dy)/(dx) and q=(d^(2)y)/(dx^(2)), then what is (d^(2)x)/(...
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Let f(x+y)=f(x)+f(y) for all real x,y and f'(0) exists. Prove that f'(...
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Transform the differential equation (1-x^2)((d^2y)/(dx^2))=x(dy/dx) by...
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