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Assertion Consider the following statem...

`Assertion` Consider the following statements in `S and R S:` Both `sinx and cosx` are decrerasing function in the interval `(pi/2,pi) ` `Reason` If a differentiable function decreases in an interval `(a,b)`, then its derivative also decrease in `(a,b)`.Which of the following it true? (a) Both S and R are wrong. (b) Both `S and R` are correct, but R is not the correct explanation of S. (c) S is correct and R is the correct explanation for S. (d) S is correct and R is wrong.

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Assertion Consider the following statements in SandR S: Both sinx and cosx are decreasing function in the interval (pi/2,pi) Reason If a differentiable function decreases in an interval (a,b) , then its derivative also decrease in (a,b) .Which of the following it true? (a) Both S and R are wrong. (b) Both S and R are correct, but R is not the correct explanation of S. (c) S is correct and R is the correct explanation for S. (d) S is correct and R is wrong.

Which of the following hold(s) good for the function f(x)=2x-3x^(2/3) AAx in R ?

Assertion (A). The earliest fossils of amphibia are from devonian and called labyrinthodontia. Reason (R). Decline of earliest amphibian fossils was not of folded nature. (a) A is true but R is false (b) Both are true R correct explanation of A (b) both are true but R is not correct explanation of A (d) both are false

If R is a relation from a set A to t B and S is a relation form B to a set C then the relation S o R

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What is the value of b for which the function f(x)=sinx-bx+c is decreasing in the interval (-oo, oo) ?

Assertion. Efficiency of C_(4) plants is more than that of C_(3) plants Reason. C_(4) plants are more efficient in picking of CO_(2) (a) If both the with reason being correct explanation (b) both are true with reason being not correct explanation (c) assertion is true but reason is wrong (d) both are wrong

Statement 1: For f(x)=sinx ,f^(prime)(pi)=f^(prime)(3pi) Statement 2: For f(x)=sinx ,f(pi)=f(3pi)dot a. Statement 1 and Statement 2, both are correct and Statement 2 is the correct explanation for Statement 1 b. Statement 1 and Statement 2, both are correct and Statement 2 is not the correct explanation for Statement 1 c. Statement 1 is correct but Statement 2 is wrong. d. Statement 2 is correct but Statement 1 is wrong.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even ...

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  2. Prove that f(x)=a^x, 0<a<1, is decreasing in R.

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  3. Assertion Consider the following statements in S and R S: Both sinx a...

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  4. Statement 1: The function f(x)=x In x is increasing in (1/e ,oo) Stat...

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  5. Statement 1: f(x)=|x-1|+|x-2|+|x-3| has point of minima at x=3. State...

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  6. Find the point on the curve 4x^2 + a2y^2 = 4a^2, 4 < a^2 < 8 that is f...

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  7. Statement 1: For all a ,b in R , the function f(x)=3x^4-4x^3+6x^2+a x...

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  8. Statement 1: f(x)=(x^3)/3+(a x^2)/2 + x+5 has positive point of maxima...

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  9. If a function f(x) has f^(prime)(a)=0 and f^(primeprime)(a)=0, then (...

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  10. The minimum value of 2^((x^2-3)^3+27) is (a) 2^(27) (b) 2 (c) 1 (d...

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  11. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

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  12. The maximum value of ((logx)/x)is

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  13. The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N, has a local minimum...

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  14. Greatest value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

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  15. The equation e^(x-1)+x-2=0 as

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  16. The greatest value of the function f(x)=(sin2x)/(sin(x+pi/4)) on the i...

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  17. If [.] denotes the greatest integer function then lim(x→0)​[x^2/(tanx....

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  18. If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its m...

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  19. The real number x when added to its inverse given the minimum value of...

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  20. Statement 1: Let f(x)=sin(cos x) \ i n \ [0,pi/2]. Then f(x) is decr...

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