Suppose that we have two functions, f(x) and g(x), and that - f(5)=3, - g(5)=3, - f ′
(5)=−3, and - g ′
(5)=4. Calculate the values of the following derivatives when x is equal to 5 . dx
d
​
(f(x)+g(x)) ∣
∣
​
x=5
​
= dx
d
​
(f(x)g(x)) ∣
∣
​
x=5
​
= dx
d
​
( g(x)
f(x)
​
) ∣
∣
​
x=5
​
= d. dx
d
​
( f(x)+g(x)
f(x)
​
) ∣
∣
​
x=5
​
= dx
d
​
((f(x)g(x)) 2
) ∣
∣
​
x=5
​
= f. dx
d
​
(xf(x)) ∣
∣
​
x=5
​
= g. dx
d
​
( x
f(x)
​
) ∣
∣
​
x=5
​
=