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A function y-f(x) has a second-order der...

A function `y-f(x)` has a second-order derivative `f^(x)=6(x-1)dot` It its graph passes through the point (2,1) and at that point tangent to the graph is `y=3x-5,` then the value of `f(0)` is 1 (b) `-1` (c) 2 (d) 0

A

1

B

`-1`

C

2

D

0

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The correct Answer is:
B
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CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
  1. The equation of the tangent to the curve y=b e^(-x//a) at the point wh...

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  2. Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/...

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  3. A function y-f(x) has a second-order derivative f^(x)=6(x-1)dot It its...

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  4. If x+4y=14 is a normal to the curve y^2=alphax^3-beta at (2,3), then t...

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  5. The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tan...

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  6. Let C be the curve y=x^3 (where x takes all real values). The tangent ...

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

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

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

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

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

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

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  14. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b)...

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

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

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  18. A point on the parabola y^2=18 x at which the ordinate increases at tw...

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  19. Find the rate of change of volume of a sphere with respect to its s...

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  20. If there is an error of k % in measuring the edge of a cube, then the ...

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