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The point of local maxima for the function ​f(x) = sinx. cos x is
  • a)
    π/3
  • b)
    π/2
  • c)
    π/4
  • d)
    π/6
Correct answer is option 'C'. Can you explain this answer?
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The point of local maxima for the function​f(x) = sinx. cos x is...
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The point of local maxima for the function​f(x) = sinx. cos x is...
f(x) = sinx.cosx
f’(x) = -sin2x + cos2x
-sin2x + cos2x = 0
sin2x = cos2x
tan2x = 1
tanx = +-1
for tan x = 1, x = π/4
for tan x = -1, x = 3π/4
At x = π/4, f(π/4) = ½
At x = 3π/4, f(3π/4) = -½
At π/4 is the local maxima.
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The point of local maxima for the function​f(x) = sinx. cos x isa)π/3b)π/2c)π/4d)π/6Correct answer is option 'C'. Can you explain this answer?
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