Sorry - I can't change the Title, I put something random in whilst checking my Latex syntax now I can't change it to something more appropriate could a mod please do it for me? Thanks
I've copied out the next question and my attempt at an answer, could you please advise as to what I have got wrong;
a)In the each of the following parts, you should simplify your answers where it is appropriate to do so.
a)
i) Write down the derivative of each of the functions
and
ii) Hence, by using the Product Rule, differentiate the funtion
b)
i) Write down the derivative of each of the functions
and
ii) Hence, by using the Quotient Rule, differentiate the funtion
c)
i) Write down the derivative of the function
ii) Hence, by using the Product Rule, differentiate the funtion
i) The derivatives are;
ii) Differentiate the function using the product rule
b)
i) The derivatives are;
ii)Differentiate the function using the Quotient rule
c)
i) The derivatives are;
ii)Differentiate the function using the Composite Rule
Thank you
No.
Chain rule!
ii) Differentiate the function using the product rule
No, g'(t)= -3 sin(3t)b)
i) The derivatives are;
Chain rule again.
ii)Differentiate the function using the Quotient rule
No. Notice that your solution is the same as 2/5, a constant.c)
i) The derivatives are;
Notice that the "2" has disappeared here. That is because 5ln(2x)= 5(ln(x)+ ln(2))= 5ln(x)+ 5ln(2), and the derivative of the constant 5ln(x) is 0.
I would say "chain rule"ii)Differentiate the function using the Composite Rule
The derivative of sin(x) is cos(x), not sin(x).
Thank you