I f space space y space equals space 25 to the power of log subscript 5 open parentheses x close parentheses end exponent space s h o w space t h a t space fraction numerator d y over denominator d x end fraction equals space 2 x 

Asked by Mudita Agrawal | 13th Oct, 2014, 10:58: PM

Expert Answer:

G i v e n space e q u a t i o n space i s space y equals 25 to the power of log subscript 5 open parentheses x close parentheses end exponent R e w r i t i n g space t h e space a b o v e space e q u a t i o n comma space w e space h a v e comma y equals open parentheses 5 squared close parentheses to the power of log subscript 5 open parentheses x close parentheses end exponent rightwards double arrow y equals 5 to the power of log subscript 5 open parentheses x squared close parentheses end exponent rightwards double arrow y equals x squared space space space space space space space space space space open square brackets sin c e space a to the power of log subscript a open parentheses x close parentheses end exponent equals x close square brackets 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. fraction numerator d y over denominator d x end fraction equals 2 x

Answered by Vimala Ramamurthy | 14th Oct, 2014, 08:55: AM