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NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6.2
- Show that the function given by f (x) = 3x + 17is strictly increasing...
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- Show that the function given by f(x)=e^(2x) is strictly increasing on...
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- Show that f(x)=sinx is increasing on (0,\ pi//2) and decreasing on (pi...
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- Find the intervals in which the function f given by f(x)=2x^2-3xis(a) ...
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- Find the intervals in which the function f given by f(x)=2x^3-3x^2-36 ...
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- Find the intervals in which the following functions are strictly incre...
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- Show that y=log(1+x)-(2x)/(2+x),\ x >-1 is an increasing function of x...
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- Find the values of x for which f(x)=[x(x-2)]^2 is an increasing func...
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- Prove that y=(4sintheta)/((2+costheta))-theta is an increasing func...
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- Prove that the logarithmic function is strictly increasing on (0,oo).
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- Prove that the function f(x)=x^2-x+1 is neither increasing nor decr...
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- Which of the following functions are strictly decreasing on [0,pi/2](...
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- On which of the following intervals is the function x^(100)+sinx-1 dec...
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- Find the least value of a such that the function f given by f(x)=x^2+...
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- Let I be any interval disjoint from (1, 1). Prove that the function f...
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- Prove that the function f given by f(x) = log sin x" is increasing on...
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- Prove that the function f given by f(x) = log | cos x|" is decreasing ...
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- Prove that the function f(x)=x^3-3x^2+3x-100 is increasing on R .
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- The interval in which y=x^2""e^(-x) is increasing is (A) (-oo,""""o...
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