# math

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(a) write down the derivative of each of the functions
f(x)=E7x and g(x)=cos(2x)

using the product rule differentiate the function
k(x)=E7xcos(2x)

(b)write down the derivative of each of the functions
f(t)=t5-1 and g(t)=1n(4t) (t>0)

using the quotient rule differentiate the function

k(t)=t5-1 (t>1)
- -
1n(4t) 4

(c) write down the derivative of each of the functions
f(x)=x3/2 (x>0) and g(u)=sin(1u)
-
3

useing the composite rule differentiate the function
k(x)=sin(1x3/2) (x>0)
-
3

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