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If y = f(x^(2)) and f'(3) = 5 then (dy)/...

If `y = f(x^(2)) and f'(3) = 5` then `(dy)/(dx)` at x = 1 is _______

A

5

B

25

C

15

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
  1. Foot of perpendicular drawn from the origin to the plane 2x-3y +4z = ...

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  2. If two dice are thrown simultaneously , then the probability that the ...

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  3. If y = f(x^(2)) and f'(3) = 5 then (dy)/(dx) at x = 1 is

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  4. If x= a cos^(3) theta, y= a sin^(3) theta, then 1 + ((dy)/(dx))^(2) is

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  5. Slope of normal to the curve y = x^(2) - 1/(x^(2)) at (-1,0) is

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  6. int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .

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  7. If f : R to R is defined by f(x) = x/(x^(2)+1) find f(f(2)) .

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  8. Evalute |(cos 15^(@) sin 15^(@)),(sin 75^(@) cos 75^(@))|

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  9. A man takes a step forward with probability 0.4 and one step backward ...

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  10. int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to

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  11. Area bounded by y = x^(3) ,y = 8 and x = 0 is .

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  12. Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and...

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  13. The mean devision from the data 3,10,10,4 ,7,10,5 is

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  14. The probability distribution of X is : {(X:,0,1,2,3),(P(X),0.2,k,k,...

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  15. If the function g(x) is defined by g(x) = (x^(200))/(200) +(x^(199...

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  16. A box contains 6 red numbers from 1 through 6 and 4 white marbles ...

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  17. lim(x rarr 0) (1- cos x)/(x^(2)) is :

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  18. f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt 5):} is continuous, find k

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  19. If f(x)=2x^(2), find (f(3.8)-f(4))/(3.8-4) :

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  20. If x = ct and y = c/t , find (dy)/(dx) at t = 2 .

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