Can anyone teach me step by step how to differetiate?
1) f(x)=2x^3+x
2)f(x)=3/sqrt(x)
3)f(x)=3x^5/6+7x^2/3
do you remember the power rule?
if there is a constant multiplying, it doesn't matter, just take it along
for c a constantapply the power rule for each term
note that this is the same as and apply the power rule2)f(x)=3/sqrt(x)
i am not sure what you wrote here. please use parentheses to clarify3)f(x)=3x^5/6+7x^2/3
type fractions like (numerator)/(denominator)
example, type (3x + 1)/(x - 2) to mean
I'm assuming you dont need the proof of this from first principles,we would be using the rules that
and that
for the first one we would have in the first term the power (n) is 3 and the coefficient before it (a) is 2 so the differential of that would be
then the second term a=1 and n=1 so the differential of that would be 1 giving us
can you do the same for the other parts now in the second remember that