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:
Any shape with 4 sides will be a quadrilateral!
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Hope this helps! :)
Answer:
Step-by-step explanation:
Sin = opposite / hypothenuse
Sin A = 40 / 41
Answer:
Step-by-step explanation:
You see the 90 degree angle marking at the top left so that angle is 90 degrees. However, it is bisected into two so both sections of that 90 degree angle equal 45. One triangle is equal to 180 degrees, so the triangle at the tops' missing angle is 52. I don't know if you heard of vertical angles but that angle opposite 83, because it is a vertical angle, is also 83 degrees. This is as far as I've gotten. Not sure how to solve the rest without more information
Answer:
8 lilies and 12 tulips flowers
Step-by-step explanation:
Let x be the lilies and y be the tulips flower.
Given:
Total flowers = 20
Lilies cost = $3
Tulip cost = $2
Bouquet cost = $48
Solution:
A bouquet of lilies and tulips has 20 flowers, so sum of the lilies and tulip flower is equal to 20 flower,
-----------------(1)
Since lilies cost $3 each, tulip cost $2 each and bouquet cost is equal to $48, so we write the equation as.
------------------(2)
From equation 1.
--------------(3)
Substitute in equation 2 and simplify.
Substitute in equation 3.
Therefore, 8 lilies and 12 tulips flowers in the bouquet.
