Answer:
B
Step-by-step explanation:
So we have the function:
To find the inverse, flip f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:
Subtract 32 from both sides:
Multiply both sides by 5/9. The right side will cancel. Thus:
Our answer is B.
And we're done!
m<A = 114° , m<Q = 114° , m< D= 66° ,m<U = 66°
x=13
FIRST THREE OPTIONS
A,B,C
From your previous questions, you know
(3<em>w</em> + <em>w</em>⁴)' = 3 + 4<em>w</em>³
(2<em>w</em>² + 1)' = 4<em>w</em>
So by the quotient rule,
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3<em>w</em> + <em>w</em>⁴)' - (3<em>w</em> + <em>w</em>⁴)•(2<em>w</em>² + 1)' ] / (2<em>w</em>² + 1)²
That is, the quotient rule gives
<em>R'(w)</em> = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²
I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:
<em>R'(w)</em> = [ (2<em>w</em>² + 1)•(3 + 4<em>w</em>³) - (3<em>w</em> + <em>w</em>⁴)•(4<em>w</em>) ] / (2<em>w</em>² + 1)²
1/5 goes into , 5 times, so 1/5 would go into to 10 times, so there is your answer 10
