Differentiate exponential functions, Mathematics

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Differentiate following functions.

(a)    R ( w) = 4w - 5 log9 w

(b)   f ( x ) = 3ex + 10x3 ln x

Solution :  (a) It will be the only example which doesn't includes the natural exponential & natural logarithm functions.

R′ ( w) = 4w ln 4 - (5/w ln 9)

 (b) Not much to this one. Just recall using the product rule on the second term.

f ′ ( x ) = 3ex + 30x2 ln x + 10x3 ( 1 /x)

= 3ex +30x2 ln x + 10x2

 


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