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Find the interval in which f(x)=2x^3+3x^...

Find the interval in which `f(x)=2x^3+3x^2-12x+1` is increasing.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local max...

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  2. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

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  3. Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

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  4. Find the number of solutions of the equation x^3+2x^2+5x+2cosx=0 in [0...

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  5. f(x)=(x-1)|(x-2)(x-3)|dot Then f decreases in (a)(2-1/(sqrt(3)),2) (b...

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  6. f(x)=(x-8)^4(x-9)^5,0lt=xlt=10 , monotonically decreases in (a) (76/9...

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  7. f(x)=(x-2)|x-3| is monotonically increasing in (a)(-oo,5/2)uu(3,oo)...

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  8. F(x)=|xlog(e)x|monotonically decreases in which interval?

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  9. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

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

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

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

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

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

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

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

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

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

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

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