find :
d/dx(|sinx|)
 

Asked by Kristin Thapliyal | 30th Jun, 2015, 02:46: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space f u n c t i o n y equals open vertical bar sin x close vertical bar R e w r i t i n g space t h e space a b o v e space f u n c t i o n space a s comma y equals square root of sin squared x end root D i f f e r e n t i a t i n g space t h e space a b o v e space f u n c t i o n space w i t h space r e s p e c t space t o space x comma space w e space h a v e comma fraction numerator d y over denominator d x end fraction equals 1 half open parentheses sin squared x close parentheses to the power of negative 1 half end exponent cross times 2 sin x cross times cos x rightwards double arrow fraction numerator d y over denominator d x end fraction equals open parentheses s i n squared x close parentheses to the power of negative 1 half end exponent s i n x cross times c o s x rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator sin x cross times cos x over denominator open parentheses s i n squared x close parentheses to the power of 1 half end exponent end fraction rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator s i n x cross times c o s x over denominator open vertical bar s i n x close vertical bar end fraction

Answered by Vimala Ramamurthy | 30th Jun, 2015, 08:41: PM