Home
Class 12
MATHS
If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"...

If `f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2)sin(x-x^2)sin2x0sin2x^2|,t h e n` `f(-2)=0` (b) `f^(prime)(-1/2)=0` `f^(prime)(-1)=-2` (d) `f^(0)=4`

Answer

Step by step text solution for If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2)sin(x-x^2)sin2x0sin2x^2|,t h e n f(-2)=0 (b) f^(prime)(-1/2)=0 f^(prime)(-1)=-2 (d) f^(0)=4 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|[cos(x +x^2), sin(x +x^2),-cos(x+x^2)],[ sin(x-x^2), cos(x -x^2), sin(x-x^2)],[sin2x,0,sin2x^2]| then find f'(x)

f(x)=|[cos(x+x^(2)),sin(x+x^(2)),-cos(x+x^(2))sin(x-x^(2)),cos(x-x^(2)),sin(x-x^(2))sin2x,0,sin(2x^(2)). Find the value of f'(0), sin (2x^(2))

Knowledge Check

  • If f (x) =|(cos (x+x^2),sin(x+x^2),-cos(x+x^2)),(sin(x-x^2),cos(x-x^2),sin(x-x^2)),(sin2x,0,sin2x^2)| then f'(0) =

    A
    4
    B
    2
    C
    3
    D
    0
  • If f(x)=|{:(5+sin^2x,cos^2x,4sin2x),(sin^2x,5+cos^2x,4sin2x),(sin^2x,cos^2x,5+4sin2x):}| then evaluate

    A
    domain of function f(x)
    B
    range of function f(x)
    C
    period of function f(x)
    D
    `underset(xto0)lim(f(x)-150)/x`
  • Similar Questions

    Explore conceptually related problems

    "Let "f(x)=|{:(cos(x+x^(2)),sin (x+x^(2)),-cos(x+x^(2))),(sin (x-x^(2)),cos (x-x^(2)),sin (x-x^(2))),(sin 2x, 0, sin (2x^(2))):}|. Find the value of f'(0).

    If f'(x)=sin x+sin4x cos x then f'(2x^(2)+(pi)/(2))=

    If f(x)=(cos^(2)x+sin^(4)x)/(sin^(2)x+cos^(4)x) for x in R then f(2016)=

    Let f(x)=det[[cos^(2)x,sin2x,-sin xsin2x,2sin^(2)x,cos xsin x,-cos x,0]] than

    f(x)=sqrt(sin(cos x))+ln(-2cos^(2)x+3cos x+1)+e^(cos^(-1))((2sin x+1)/(2sqrt(2sin x)))

    If f(x)=(cos^(2)x+sin^(4)x)/(sin^(2)x+cos^(4)x) for x varepsilon R then f=