y 1 -2 - 1 2 -2 2.

Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

Q: Which of the following ideas best describes the derivative of a function? a. a function b. an…

A:

Q: Choose the graph that is the function and the graph that is the derivative. O A. Y, is the graph of…

A: The graph of function f(x) and its derivative function f'(x) is given in the plot.

Q: 6. The graph y = f'(x) of the the derivative of a function f(x) is shown below. Answer the questions…

A: Given that: Graph of f(x)       NOTE: As per our answering guidelines, we can only answer 1 question…

Q: If F is a derivative function, obtain the derivative of the function u(x) = (F(x))² in terms of F…

A: given u(x)=4x2-12u(x)=F(x)2to find derivative of u(x)

Q: State the original function. Given the function below, sketch a graph of its derivative on the same…

A: Original function is  f(x) = 12sinπx-π2+12

Q: Match the graph of each function in (a)–(d) with the graph of its derivative in I-IV. Give reasons…

A: (a) Observe from the graph that the tangents are horizontal at two points. That means f'(x) has two…

Q: Calculate the derivative of the function. g(x) (x2-3x- 1)-5 g'(x) (No Response) Need Help? Read It

A: Given: g(x) = x2-3x-1-5 To find: The derivative g'(x) of the given function.

Q: hich of the following notions is closely related to the derivative of a function? a. slope b. zero…

A:

Q: Find the derivative of the function given below. Simplify and write your answer as a single…

A: If the two functions f ( x ) and g ( x ) are differentiable (i.e. the derivative exist) then the…

Q: Find the derivative of y= 25 + 14.

A: Topic = Derivative

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Graph of derivative of function, f'(x), is given. y= f'(x) 1 5 7 8

A: We know that when f'(x) goes from negative to positive then f(x) will be decreasing and then…

Q: The graph of a function f is given below. According to the graph, the derivative of the function…

A: we have given the graph of the function f, it has local minima at x=2 (as it has minimum value in…

Q: dg Find if g(x) = ez² (in other words, find the second derivative of g). dr2

A: given that g(x)=ex2dgdx=2xex2

Q: Determine the derivative of the function g(x) = ex^2 - e(2x-5). Do not simplify your answer.

A: The given function is gx=ex2-e2x-5. Find the derivative of the given function. Here we use the…

Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in…

A:

Q: calculate the derivative of the function. Then find the value of the derivative as specified.

A: First write the expression using exponent.

Q: The derivative of a sum of functions is the sum of the derivatives of each function. O True O False

A:

Q: Can you please help me out

A: The graph of the derivative of the function can be find as the graph of gradient of f(x).

Q: write an example of a function, f(x), whose derivative is itself.

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is the function,…

Q: Which of the following describes the derivative function ƒ′(x) of a quadratic function ƒ(x)? (a)…

A: Given:     f(x) be a quadratic function.

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Form the differential equation and solve it using integration and satisfy the given point.

Q: Use the definition of the derivative to find the derivative of the function f (x) 18. Answer f'(x) =…

A:

Q: Define the function f(x)=√(9−x).  Find the equation of the tangent line at x=5.  When put in the…

A: The equation of tangent line

Q: Find the y(") ( the fifth derivative ) of y

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: Find the derivative of the function. g(x) = (2 + (x2 + 1)4)3

A: Consider the provided function, gx=2+x2+143 Find the derivative of the function. Applying the chain…

Q: In the given equation/s , find the slope of the graph of the function at the given point. Use the…

A:

Q: Find the derivative by the definition of each of the following functions: - + 2x

A:

Q: Below is the graph of y = g(x). use the pencil tool to sketch the derivative function g'(x). Be…

A:

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

A: f'(x)=limh→0f(x+h)-f(x)hf'(x)=limh→0-(x+h)2+4(x+h)-2-(-x2+4x-2)hf'(x)=limh→0-(x2+h2+2xh)+4(x+h)-2-(-…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To find an equation for the function f that has the given derivative and whose graph passes through…

Q: Using the definition of the slope of a tangent line, find the derivative of each function. 1. f(x) =…

A:

Q: The graph shown is the 1st derivative of function where its domain is 20 10 8 2

A:

Q: (0. §) Find the equation of the function f whose graph passes through the point and whose derivative…

A: you can clearly understand if you follow the below solution

Q: Find the derivative of f(x)

A: Given,

Q: Caloulate the derivative of the following function. y= sec (9x-5)

A: we simply apply differentiation property and get the required answer

Q: et Find the derivative of the function g(x) 5 – 3x Preview = (2),6 Get help: Video

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: et Find the derivative of the function g(x) 3 – 4x g'(x) = Preview %3D

A: gx=ex3-4x

Q: Find the derivative of the function. (x) = (2x – 6)ª(x² + x + 1)5 %3D f'(x) = Need Help? Watch It

A:

Q: find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: The graph of function f(x) is shown below. At which value of a is the derivative of the function…

A: The graph of the function

Q: The picture below shows the graph y = f'(x) of the derivative of a function y = f(x).

A: When the graph of the derivative y=f'(x) is increasing, the function y=f(x) is concave up. When the…

Q: Find the derivative of the function. y = 27-22 y' =

A:

Q: Find the derivative of the economic functions. Show full solutions and properly name the derivative.…

A: We have to find out the derivative of given functions.

Q: Direction: Find the derivative of each of the following functions. 1. y = (3x - 1)(2x +5)

A:

Q: 5- Зх f(x) = 5+ 3х

A:

Q: Find the derivative y = 73

A: The given equation is: y=73t To find the derivative of y with respect to t.

Q: Using the definition of derivative, find the derivative of the following functions: (a) y=F-2 (b) y=…

A: d(xn)dx=nxn-1 is basic formula

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: