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-Continuity, Differentiability and Graph of Function-Exercise

If f(x)={:{(ax^(2)-b", for " 0 le x lt1),(2", for " x=1),(x+1", for " ...
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If f(x)={(((1-sin^(3)x))/(3cos^(2)x)",",x lt (pi)/(2)),(a",",x=(pi)/(2...
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Let f(x)=( x^2+3x-10)/(x-2), x=!2. The value f(2) = will make the fun...
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If f(x) is continuous in [0,1] and f(1/2)=1. prove that lim(n->oo)f((...
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If f(x) =(sin (e^(x-2)-))/(log(x-1)) then lim(xto2)f(x) is given by
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If f(x)={((sqrt(1+px)-sqrt(1-px))/(x) ",", -1 le x lt 0),((2x+1)/(x-2...
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The function f(x) = (log(1+ax)-log(1-bx))/x is not difined at x = 0. ...
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The function f(x)={{:(|x-3|",", x ge1),(((x^(2))/(4))-((3x)/(2))+(13)/...
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The range of the function f(x)=(tan(pi[x+1]))/(x^(4)+1) (where, [.] is...
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The function f(x)=1+|sin x|, is
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If x+ |y|=2 y, then y as a function of x is
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The graph of the function, cos x cos (x +2) -cos^2 (x+1) is
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यदि f(x)=x[sqrt(x)-sqrt((x+1))] हो तो-
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Let f(x)=lim(ntooo)(1-x^n)/(1+x^n). Then
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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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The function f defined by f(x) =[2x^2+3 for x leq 1 and 3x+2 for x lt...
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If ("lim")(xveca)[f(x)g(x)] exists, then both ("lim")(xveca)f(x)a n d(...
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underset(x rarr 0) lim ((1-cos 2x)sin 5x)/(x^(2) sin 3x)
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Let f(x) be a continuous function defined on [1, 3]. If f(x) takes onl...
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If f(x)={x^2 if x is rational and 0, if x is irrational} , then
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