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Grade 11Differential Calculus

If f(x)= sin x
and g(x)= sgn sin x
{which is signum of sinx)

Then what is the value of:
g’(1)?
The answer is not 0. Can you also please show me the steps that lead to the final solution.

Jayank Singh Senger

12 Years agoGrade 11

1 Answer

Jitender Singh

12 Years ago

Hello student, please find answer to your question
$f(x) = sin(x)$
$g(x) = sgn(sin(x))$
$=1, sin(x) > 0$
$=0, sin(x) = 0$
$=-1, sin(x) < 0$
Let take the interval 0 to 2pi
$g(x)=1, 0 < x < \pi$
$=0, x = 0, \pi , 2\pi$
$=-1, \pi < x < 2\pi$
$g'(x)=0, 0 < x < \pi$
$=0, x = 0, \pi , 2\pi$
$=0, \pi < x < 2\pi$

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