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Given that f'(x) > g'(x) for all real x...

Given that `f'(x) > g'(x)` for all real `x, and f(0)=g(0)`. Then `f(x) < g(x)` for all x belong to `(a) `(0,oo) (b) `(-oo,0)` (c) `(-oo,oo)` (d) `none of these

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
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  2. A function g(x) is defined as g(x)=1/4f(2x^2-1)+1/2f(1-x^2) and f(x) i...

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  3. Given that f'(x) > g'(x) for all real x, and f(0)=g(0). Then f(x) < ...

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  4. The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...

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  5. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

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  6. Find the length of tangent to the curve y=4x^3-2x^5 at (-1,1)

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  7. The equation of the line tangent to the curve x siny + ysinx = pi at t...

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  8. The x-intercept of the tangent at any arbitrary point of the curve a/(...

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  9. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

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  10. Given g(x) (x+2)/(x-1) and the line 3x+y-10=0. Then the line is

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  11. If the length of sub-normal is equal to the length of sub-tangent at ...

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  12. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

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  13. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

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  14. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

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  15. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

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  16. The tangent to the curve y = e ^(kx) at a point (0,1) meets the x-axis...

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  17. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) Then (a) touch each oth...

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  18. The coordinates of a point on the parabola y^2=8x whose distance from ...

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  19. At the point P(a,a^(n)) on the graph of y=x^(n)(n in N) in the first q...

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  20. Let f be a continuous, differentiable, and bijective function. If the ...

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