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d/dx(10^x)

Asked by justinjosearackal 6th August 2015, 9:29 PM
Answered by Expert
Answer:
L e t space y equals 10 to the power of x T a k i n g space log space o n space b o t h space t h e space s i d e s comma space w e space h a v e comma log y equals log open parentheses 10 to the power of x close parentheses rightwards double arrow l o g y equals x cross times l o g 10 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 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 1 over y fraction numerator d y over denominator d x end fraction equals 1 cross times log 10 rightwards double arrow fraction numerator d y over denominator d x end fraction equals y cross times l o g 10 rightwards double arrow fraction numerator d y over denominator d x end fraction equals 10 to the power of x cross times l o g 10
Answered by Expert 7th August 2015, 8:41 AM
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