The graph of a function f(x) is shown below. Sketch the graph of its derivative f’(x).

Q: Use the definition of the derivative equation (f(x+h)-f(x))/h) to find the derivative of (1/x).

A: The definition of derivative is given by,

Q: Find the function whose derivative is 1-e2x

A:

Q: Find the derivative of f(x) = 2 tan^-1(x) 6^x

A:

Q: Please provide me with the solution to this problem. Please show the work and try to dumb it down so…

A:

Q: Using the derivatives of In x, tell in a complete sentence why Inr is increasing, and why its graph…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the derivative of the function. g(x) = arccos(x) / x+7   g'(x)=__________________

A:

Q: derivative

A: We will find the derivative.

Q: Find the derivative of g(x) = 4x tan x.

A: The given function is: g(x)=4x5 tan(x)

Q: Find the derivative of the following function

A: Let the given function be - y = 5x + tan-11xDifferentiating on both sides with respect to x - dydx =…

Q: Find the derivative of the function f(x) = arcsin(x − 1)

A:

Q: Find the derivative of the function. f(x) = arcsec(2x) f '(x) =

A: Given, The function fx = sec-12x  We have to find f'x.

Q: Find the derivative of the function. f(x) = In(x + 1) f'(x) =

A: To find the derivative of the function fx=lnx+1

Q: Find the derivative of the function. g(x) + g'(x) = + 3.

A:

Q: Find the derivative of the function f(x) = arccot √x

A:

Q: Find the derivative of the following function.

A:

Q: Find the derivative of f(x) = arcsin 2

A:

Q: Here is the graph of the second derivative of a function g(x). g"(x) Where does g(x) have a point of…

A: Inflection point is at that x value where the double derivative of the function is 0.

Q: Find the derivative of the function g(x) et 5x - g'(x) =

A: We have to use quotient rule for derivative and use  d/dx(ex)=ex d/fx(ax+b)=a

Q: Find the derivative, g' (x)

A:

Q: 1 ソ= 1- x

A:

Q: Sketch the graph of a function z = f(x, y) whose derivative fx is always negative and whose…

A: Given that z=f(x, y) fx is always negativefy is always positive

Q: Find the derivative of the function.

A: Given: g(x)=arcsin(3x)x

Q: find the derivative of: f(x)= x^(1/x) using logarithmic derivatives

A: Given function

Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: Sketch the graph of the derivative for function shown.

A: Graph has a horizontal tangent between x=-2 and x=-1, at x=0 and at x=2.9, Therefore graph of f'…

Q: sketch the graph of a function f whose derivative f' has the given description:f'(x) > 0 for x…

A: Given that f'(x) > 0 for x > 3 and f'(x) < 0 for x < 3. There are many possible graph to…

Q: Find the first derivative of the function below:

A:

Q: 3. Sketch the graph of the derivative of the function below.

A: A rough graph can be plotted as values are not given in the given graph.

Q: sketch the graph of a function f whose derivative f' has the given description. f'(x) > 0 for x…

A:

Q: he figure shows the graph of the derivative f' of a function f. yA y= f'(x) -2/

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Sketch the graph of the derivative for function shown.

A:

Q: f(x) = x In x

A:

Q: Find the derivative of the function. 2 + g(x)

A: We know that  ddxxn = n·xn-1

Q: Give the derivative formula for the function. g(x) = 2.1* + g'(x) =

A:

Q: Given the derivative f'(x), find the x-value for all relative extreme for the graph of the original…

A:

Q: Find the derivative of the function. f(x) = arcsec(3x)

A: Given Data: Function: f(x)=arcsec(3x) The derivative of inverse of secant of (x) with respect to x…

Q: Sketch a graph of the first and second derivative for the function f(x) shown:

A: Solution is given below:

Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

A: We have to find the derivative of the given function.

Q: Find the derivative. y = x In(x) + x

A:

Q: Graph the derivative of the function f(x) if the graph of f(x) is

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: Find the derivative of the following function g(x) = e¯*arctan x

A:

Q: Compute the derivative of f(x) = arcsin(x² e3=).

A:

Q: Find f (x) of f(x)= by using the definition of the x- derivative.

A: Definition of Derivative is given as

Q: Sketch the graph of the function f whose derivative has the given graph

A:

Q: Compute the derivative of f (x) : = arcsin(x² e³«).

A:

Q: Sketch the graph of y= x2+2/x by using the properties of the derivative.

A: Given: y=x2+2x=x2+2x⇒y'=1-2x2⇒x2-2=0 ;  ⇒x=±2 are…

Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) > 0  from graph  Function is increasing…

Q: 3. Find the derivative of g(x)=

A: We will use Lebnitz rule to find the derivative Of g(x).

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: