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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- If y= 7x^5, then (dy)/(dx)
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- The n t h derivative of the function f(x)=1/(1-x^2)[w h e r ex in (-1,...
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- Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=...
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- Statement 1: Let f: R -> R be a real-valued function AAx ,y in R such...
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- Statement 1: For f(x)=sinx ,f^(prime)(pi)=f^(prime)(3pi) Statement 2...
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- f:R^+ ->R is a continuous function satisfying f(x/y)=f(x)-f(y) AAx,y i...
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- f(n)(x)=e^(f(n-1)(x))" for all "n in N and f(0)(x)=x," then "(d)/(dx){...
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- Suppose f and g are functions having second derivative f'' and g' ' ev...
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- If y=e^(-x)cosxa n dyn+kn y=0,w h e r eyn=(d^(n y))/(dx^n)a n dkn are ...
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- If a function is represented parametrically be the equations x=(1+(lo...
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- Prove (a + b + c) (ab + bc + ca) > 9abc
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- Statement 1: f(x)=x+cosx is increasing AAx in Rdot Statement 2: If f...
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- If y=a e^(m x)+b e^(-m x), then (d^2y)/(dx^2) is equals to
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- If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))]...
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- If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a)x/(...
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- (d^n)/(dx^n)(logx)=? (a)((n-1)!)/(x^n) (b) (n !)/(x^n) (c)((n-2)!)/(...
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- If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cos(pi/4) (b) s...
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- The differential coefficient of f((log)e x) with respect to x , where ...
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- If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...
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- If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is ...
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