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In the following question, compute the first derivative of the functions f(x).

Question 1: f(x)=x/(1+x²)

Question 2: f(x)=ln(x²+10).

Question 3: f(x)=ln(ax²+b) where a,b are fixed numbers.
Note that if you choose a=1, b=10 the answer of both this question and the previous one must be the same.

Question 4: f(x)=(x²+5)^1/2
Note that (...)^1/2 is the same as the square root of (...).

Question 5: f(x)=(x²+a)^1/2 where a is a fixed number.
Choose a=5 to check your answer.

Question 6: f(x)=3x²+10x³.

Question 7: f(x)=ax²+bx³ where a and b are fixed numbers.
Choose a=3 and b=10 to check your answer.

In the following questions, compute the partial derivatives with respect to x and y for the functions f(x,y).

Question 8: f(x,y)=10x+20y.

Question 9: f(x,y)=aln(x)+bln(y).

Question 10: f(x,y)=x²y³.

Question 11: f(x,y)=x^ay^b, where a,b are fixed numbers.

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