how many times can you spot the letter i in:
a table of values for $ f, g, f , $ and $ g $ is given.
for party this problem we want to find aged prime of one and we know that h of x is f of g of x. so lets use the chain rule to find h prime at x h. prime of x will be the derivative of the outside f prime of jew vex times the derivative of the inside g prime of x. now lets substitute one in their h prime of one will be f prime of g of one times g prime of one. now we can refer to the table g of one is to and g prime of one is six so we can substitute those numbers in so h prime of one is f prime of to times six. now we need to find f prime of to looking at the table f prime of two is five so we have five times six so the answer is 30 and for part b, were finding h prime of one for capital h and capital h is g of f of x. so the derivative of capital age according to the chain rule will be the derivative of the outside g prime of f of x times a derivative of the inside f prime of x. so now lets evaluate that at one h prime of one will be g prime of f one times f prime of one. now lets use the table to find f of one and effort one is three and f prime of one f prime of one is for. so lets substitute those numbers in and we have aged. prime of one equals g prime of three times four. now lets find you a prime of three. j prime of three is nine. so lets substitute that in and we have nine times for so our answer is 36.
if $f(x)=4 x, g(x)=2 x-1,$ and $h(x)=x^{2}+1,$ find each value.

user
There are 99 "i"s.
assistant