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1. write down the derivative...

1. write down the derivative of each of the functions.

f(x)=x^4 and g(x)=sin(5x)

Hence by using the product rule, differentiate the function

k(x)=x^4 sin(5x)

2. Write down the derivative of each of the following functions

f(t)=e(^6t) and g(t)=t^3+8

Hence by using the quotient rule, differentiate the function

k(t)=e(^6t)/t^3+8 (t>-2)

3. Write down the derivative of the function

f(x)=6cos(1/3x)

hence by using thr composite rule, differentiate the function

k(x)= In(6cos(1/3x) ) (-3/2pi<x<3/2pi)

f(x)=x^4 and g(x)=sin(5x)

Hence by using the product rule, differentiate the function

k(x)=x^4 sin(5x)

2. Write down the derivative of each of the following functions

f(t)=e(^6t) and g(t)=t^3+8

Hence by using the quotient rule, differentiate the function

k(t)=e(^6t)/t^3+8 (t>-2)

3. Write down the derivative of the function

f(x)=6cos(1/3x)

hence by using thr composite rule, differentiate the function

k(x)= In(6cos(1/3x) ) (-3/2pi<x<3/2pi)

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