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If f(x) = cos x cos 2x cos 4x cos 8x cos...

If `f(x) = cos x cos 2x cos 4x cos 8x cos 16x` then find `f' (pi/4)`

A

1

B

0

C

-1

D

None of these

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. Let f(x) = sqrt(x - 1)+sqrt(x+ 24 - 10sqrt(x-1)), 1 lt x lt 26 be a re...

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  2. If f(x)=(|x|)^(|sinx|), then f'(-pi//4) is equal to

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  3. If f(x) = cos x cos 2x cos 4x cos 8x cos 16x then find f' (pi/4)

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  4. Equation x^(n)-1=0, ngt1, n in N," has roots "1,a(1),a(2),…,a(n-1). ...

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  5. Equation x^(n)-1=0,ngt1,ninN, has roots 1,a(1),a(2),...,a(n),. The val...

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  6. Equation x^(n)-1=0,ngt1,ninN, has roots 1,a(1),a(2),...,a(n),. The val...

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  7. underset(xto0)lim[(1-e^(x))(sinx)/(|x|)] is (where [.] represents the ...

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  8. Indicate all correct alternatives: if f(x) = x/2-1, then on the interv...

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  9. Let function f be defined as f:R^(+)toR^(+) and function g is defined ...

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  10. If f(x)={(2cos x ,s in2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x...

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  11. If f(x) = {{:(b([x]^(2)+[x])+1",","for",x gt -1),(sin(pi(x + a))",","f...

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  12. Show that the function f(x)={x^m sin(1/x) , 0 ,x != 0,x=0 is different...

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  13. {:(f(x) = cos x and H(1)(x) = min{f(t), 0 le t lt x},),(0 le x le (pi)...

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  14. Consider f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx...

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  15. Consider the function f(x) = {{:(x{x}+1",","if",0 le x lt 1),(2-{x}","...

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  16. Let f(x) = max{|x^2 - 2 |x||,|x|} and g(x) = min{|x^2 - 2|x||, |x|} th...

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  17. The function f(x)=x-[x] , where [⋅] denotes the greatest integer fu...

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  18. Let f (x) be twice differentialbe function such that f'' (x) gt 0 in [...

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  19. Let f:(-pi/2, pi/2)->R, f(x) ={lim(n->oo) ((tanx)^(2n)+x^2)/(sin^2x+(t...

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  20. Let f(x+y)=f(x)f(y) for all x, y epsilon R and f(x)=1+x phi (x) l n 2 ...

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