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The point (s) on the curve y^3+3x^2=12y ...

The point (s) on the curve `y^3+3x^2=12y` where line tangent is vertical , is (are)

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If f(x)=x^alphalogx and f(0)=0, then the value of alpha for which Ro...

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  2. The value of ′c′ in Lagrange's mean value theorem for f(x)=x(x−2)^2 in...

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  3. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

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  4. The triangle formed by the tangent to the curve f(x)=x^2+bx-b at the ...

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  5. If the normal to the curve y=f(x) at the point (3,4) makes an angle (3...

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  6. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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  7. Show that the normal at any point theta to the curve x=acostheta+at...

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  8. If a,b,c in R and a+b+c=0, then the quadratic equation 3ax^2+2bx+c=0 ...

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  9. The tangent to the curve y=e^x drawn at the point (c,e^c) intersects t...

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  10. Let S denote the set of all polynomials P(x) of degree lt=2 such tha...

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  11. For the function f(x)=x^4(12(log)e x-7), show that the point (1,7) is...

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  12. Let f(x)=log(2x-x^2)+sin((pix)/2)dot Then which of the following is/ar...

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  13. Find the coordinates of the point on the curve y=x/(1+x^2)where the te...

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  14. Show that 1+x ln(x+sqrt(x^2+1))geqsqrt(1+x^2) for all xgeq0.

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  15. A swimmer S is in the sea at a distance d km from the closest point A ...

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  16. Find the shortest distance of the point (0, c) from the parabola y=...

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  17. If ax^2+b/xgecfor all positive x where agt0andbgtc show that 27ab^2ge4...

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  18. An extremum of the function f(x)=(2-x)/picospi(x+3)+1/(pi^2)sinpi(x+3)...

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  19. If f(x)a n dg(x) are two positive and increasing functions, then which...

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  20. Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a(2)x^(2)+a(1)x, "where" a(i),s...

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