5. Зх Use the alternative formula for the derivative to find the derivative of f(x) +2 3x is x+ 2 The derivative of f(x)

Q: 2. how does the knowledge of differentiability and continuity determine the derivative of functions?

A: A function is said to be differentiable if the derivative of a function exists at all points. The…

Q: The projected number of senior citizens in the U.S. for the years 1995 through 2030 can be modeled…

A: Given: Nx=0.03x2+0.315x+34.23x is no of years after 2000

Q: 9) If a function is decreasing with an upward concavity, what do you know about the function's first…

A: Since you have asked multiple question in a single request, we would be answering only the first…

Q: yこ(3x)2 - 5c0s x : 1(3x) |(3x)" -Scosx

A:

Q: Example: Sketch pictures of some functions that would not have a derivative at x = 2.

A:

Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

A: P(x) = (x+x5+x7 )10(1+x2 )11(x3+x5+x7) Here, (x+x5+x7)10  will have x70 as leading degree. (1+x2)11…

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

A:

Q: second derivative of  y=x(x-4)3

A: Given function is y = x(x – 4)^3. Differentiate with respect to x on both sides.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: HOW DO YOU FIND THE DERIVATIVE

A: Given an equation of y in terms of x as shown below.Here we need to find the derivative of y with…

Q: Which defines as the process of finding the derivative of a function? *

A: Here, to tell which defines as the process of finding the derivative of a function.

Q: What is the derivative of the function y = (3x+1)^5 (x^4 - 10)^6 y’ =

A: y=3x+15x4-106

Q: Calculate the derivative.

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Suppose that the function y in the Derivative Product Rule has a constant value c. What does the…

A: Derivative product rule:The derivative product rule for the functions x and y is given by,

Q: How do you find the derivative of a constant multiplied by afunction?

A: If f(x) is any function and let y=cf(x)            function f(x) multiplyed with a constant, c is…

Q: бх + 5 -, is 10х + 8 The derivative of y =

A:

Q: LY 5- -4 2- -5 -4 -3 -2 -14 -2+ -3

A:

Q: Explain what happens when the derivative of a differentiable function is zero ?

A: To explain when a derivative of differentiable function is zero.

Q: What is the second derivative of: -(4-x^2)^1/2

A:

Q: 22. Find the derivative of the function using shortcut rules. Simplify for extra credit. - 6x+7) 5…

A: →Whenever we have algebric function of higher order in numerator and denominator,     then take…

Q: 6 Find the derivative of: 9/x

A:

Q: A. FIND THE DERIVATIVE OF EACH FUNCTION. DO NOT SIMPLIFY YOUR RESULT. et 17. f(x)

A:

Q: Find the derivative of f(x) = - 2 * root(4, x ^ 5) + 7/(x ^ 6)

A:

Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: 3 b) Determine the derivative of - from First Principle. (5)

A: The derivative from first principle is given below. Hope this helps!

Q: Find the slope of a line tangent to the curve of the implicit function xy + 3y - 28 = 0, at the…

A:

Q: et + 6x Compute the derivative of -3 -2x (simplification not necessary)

A:

Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

A:

Q: What is sign analysis of first derivative?. When a function is said to be increasing, decreasing…

A: As per our guidelines, I have solved the fourth problem. If you want the answer of the fifth…

Q: Explain the relationship between the slope and the derivative of ƒ(x) at x = a.

A: Given function is  fx at x=a

Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

A:

Q: n of Calculus to find the derivative of the

A:

Q: Find the slope of a line tangent to the curve of the implicit function xy +3y-68 =0, at the point…

A:

Q: Discuss the solution on how to get the derivative of the function

A: This question is related to differentiation, We will solve it using given information.

Q: 5. What is the definition of the derivative of a function f(x) ?

A:

Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

A:

Q: Use the first derivative test and the second derivative test to determine where each function is…

A:

Q: Enumerate and explain the steps in finding the derivative of this function: y=1/[2*sqrt(x+3)]

A:

Q: Find the value of the derivative of the function at the given point. f(x) = 2x2 - 3x; (- 1,5)…

A: The function is given by fx = 2x2-3x To evaluate : The value of the derivative of the function at…

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: derivative of function y=\sqrt[5]{x^4} is

A:

Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: Joha Find the derivative of the 1 1- f(x)= 2x+3

A:

Q: How do you find the derivative of h(x)=squared 1-x3

A: Find the derivative of the of given functions as follows.The given function is h(x) = (1–x3)2.

Q: 4. When finding the derivative of a fraction you have to use the Quotient Rule. 5. The derivative of…

A: 4. when finding the derivative of a fraction you have to use the quotient rule.5. The derivative of…

Q: 7. If h(x)=|2x- 3, what is the value of the derivative at x = -2?

A: According to the problem we have

Q: 27. Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Derivative of the function f(x) is given by