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How do you use the difference quotient to find the derivative of fx 7 4X-2x2 where x3?
f(x) = 7 + 4x - 2x2
Difference Quotient
You are going to plug in f(x) into:
f '(x) lim Δx -> 0 = f(x + Δx) - f(x) / Δx
[7 + 4(x + Δx) - 2(x + Δx)2] - (7 + 4x - 2x2) / Δx
= 7 + 4x + 4Δx - 2x2 - 4xΔx - 4(Δx)2 - 7 - 4x + 2x2 / Δx
= 4Δx - 4xΔx - 4(Δx)2 / Δx
= Δx (4 - 4x - 4Δx) / Δx
= (4 - 4x - 4Δx)
= 4 - 4x - 4(0)
= 4 - 4x
You can check using Power Rule:
f(x) = 7 + 4x - 2x2 f'(x) = 0 + 4(1)x1-1 - 2(2)x2-1
= 4 - 4x
When x = 3:
f'(3) = 4 - 4(3)
= 4 - 12
= -8
What else can I help you with?
What is the Product rule for square roots?
the product rule is included in calculus part.Product Rule : Use the product rule to find the derivative of the product of two functions--the first function times the derivative of the second, plus the second function times the derivative of the first. The product rule is related to the quotient rule, which gives the derivative of the quotient of two functions, and the chain rule, which gives the derivative of the composite of two functionsif you need more explanation, i want you to follow the related link that explains the concept clearly.
What is the quotient of 100 and 4?
100 divided by 4 is 25.
How do you find the quotient of a number?
A number subtracted from 17 gives the quotient of 48 and -8. Find the number.
How do you find a quotient?
Divide
How do you find second derivative of a function?
All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2
Find the sum product difference and quotient of 12 and 4?
Sum: 16 Product: 48 Difference: 8 Quotient: 3
Why do you use chain rule?
Chain Rule You can use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. The chain rule is related to the product rule and the quotient rule, which gives the derivative of the quotient of two functions.If you want example problems about the chain rule you should check out the related links!Hope this answers your question!
What is the Product rule for square roots?
the product rule is included in calculus part.Product Rule : Use the product rule to find the derivative of the product of two functions--the first function times the derivative of the second, plus the second function times the derivative of the first. The product rule is related to the quotient rule, which gives the derivative of the quotient of two functions, and the chain rule, which gives the derivative of the composite of two functionsif you need more explanation, i want you to follow the related link that explains the concept clearly.
What do you do to find product of two numbers?
You multiply them. Addition = sum Subtraction = difference Multiplication = product Division = quotient
What is the quotient of 100 and 4?
100 divided by 4 is 25.
Formulae in derivative?
You will find several formulae in the Wikipedia article on "derivative".
What is the derivative of x divided by y?
Well, isn't that a happy little question! To find the derivative of x divided by y, you can use the quotient rule. The derivative will be (y * d/dx(x) - x * d/dx(y)) / (y^2). Just remember, there are no mistakes, just happy little accidents in math!
What is the quotient of 158535?
You need two numbers to find a quotient.
How do you find the quotient.?
The quotient is the result of dividing two numbers. So if you need to find the quotient of 20 and 5, you would divide 20 by 5. That means that your answer (4) would be the quotient.
What does the derivative at a point mean?
The derivative at any point in a curve is equal to the slope of the line tangent to the curve at that point. Doing it in terms of the actual expression of the curve, find the derivative of the curve, then plug the x-value of the point into the derivative to find the derivative at that point.
How do you find the mean of x over y equals a over b?
Find the derivative of Y and then divide that by the derivative of A
How do you find quotient of a number?
to fine the quotient of a number u have to divide
