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Suppose f(x)=e^(a x)+e^(b x) , where a!=...

Suppose `f(x)=e^(a x)+e^(b x)` , where `a!=b ,` and that `f''(x)-2f^(prime)(x)-15f(x)=0` for all `xdot` Then the value of `(|a b|)/3` is ___

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Find the derivative of f(x)=e^(4x) + Cos 3x

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  2. A nonzero polynomial with real coefficient has the property that f(x)=...

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  3. Suppose f(x)=e^(a x)+e^(b x) , where a!=b , and that f''(x)-2f^(prime)...

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  4. Let z=(cosx)^5a n dy="sin"xdot Then the value of 2(d^2z)/(dy^2)a tx=(...

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  5. A function is reprersented parametrically by the equations x=(1+t)/(t^...

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  6. Let f be a twice differentiable function such that f^(prime prime)(x)=...

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  7. Let y=e^(x sin x^3)+(t a n x)^x Find (dy)/(dx)

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  8. If a x^2+2h x y+b y^2=1,t h e n(d^2y)/(dx^2) is (a)(h^2-a b)/((h x+b...

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  9. If y=sinp x and yn is the n t h derivative of y , then |[y, y1,y2],[y3...

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  10. A function f, defined for all positive real numbers, satisfies the eq...

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  11. If y=x-x^2, then the derivative of y^2 with respect to x^2 is (a)1...

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  12. The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x]...

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  13. The function f(x)=e^x+x , being differentiable and one-to-one, has a ...

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  14. Let h(x) be differentiable for all x and let f(x)=(k x+e^x)h(x) , w...

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  15. Suppose y=e^(a x)+e^(b x), find y''

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  16. If y=((a-x)sqrt(a-x)-(b-x)sqrt(x-b))/((sqrt(a-x)+sqrt(x-b)) ,then (d...

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  17. If y= 7x^5, then (dy)/(dx)

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  18. The nth derivative of the function f(x)=1/(1-x^2) [where in(-1,1) at ...

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  19. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=...

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  20. Statement 1: Let f: R -> R be a real-valued function AAx ,y in R such...

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