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f is a differentiable function defined o...

f is a differentiable function defined on an interval I with positive derivative . Then f is ...........

A

increasing on I

B

decreasing on I

C

strictly increasing on I

D

strictly decreasing on I

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The correct Answer is:
C
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PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
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  8. Which of the following is concave down:

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  9. If f(a) = 2, f'(a) = 1, g(a) = -1, g' (a) = 2. Then underset(x rarr a)...

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  12. The function f(x) = x^(2) is decreasing in

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  13. y = -e^(x) is

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  14. If f has a local extremum at a and if f'(a) exists then

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  15. A spherical snowball is melting in such a way that its volume is decre...

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  16. f(x) = sqrtx, a = 1, b = 4 find c in Lagrange's mean value theorm:

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  17. The point of curve y= 2x^(2) - 6x -4 at which the tangent is paral...

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  18. The curve y = 3e^(x) and y = (a)/(3) e^(-x) intersect orthogonally if ...

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  19. f'(x) = x^(2) - 5x + 4 then f(x) is decreasing in

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