Answer:
f'(x) = 5x^4 + 2x + 3x^2
Step-by-step explanation:
To find the derivative of this equation we can do two things.
One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.
it might be clearer when I show you:
If you are not familiar with this rule you can first write out the function and then use the basic rule:
If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still
Answer:
The solution as an ordered pair is (3,21)
Step-by-step explanation:
<u><em>The complete question is</em></u>
At David's skateboard shop, customers pay an upfront fee of $12 and then pay $3 per hour for each hour they use the skateboard.
How much does a customer at David's skateboard shop pay to rent a skateboard for 3 hours?
Write your answer as an ordered pair (h,C)
we know that
The linear equation in slope intercept form is equal to
where
C is the total cost to rent a skateboard
h is the number of hours
m is the slope or unit rate
b is the initial value (the C-intercept)
In this problem we have
The slope is equal to
The C-intercept or initial value is
substitute
For h=3 hours
substitute in the linear equation
therefore
The solution as an ordered pair is (3,21)
Well, we're just simplifying the fraction.
(2x^2)(y/4).
(2yx^2)/4.
When powers of the same base are being divided, subtract. The numbers are just plain fractions. 6/3 = 2 and 4/16 = 1/4. x^4/x^2 = x^2 and y^2/y = y.
Edit:
2/4 is 1/2.
(yx^2)/2.
