Use the figure below to estimate the indicated derivatives, or state that they do not exist. The graph of f(x) is black and has a sharp corner at . The graph of g(x) is blue.

Q: Q3\ Find the derivative of the following function by using the definition f(x) = x-1

A: Given function is fx=xx-1

Q: Find the derivatives of the functions g(x) = x2 - 4/x + 0.5

A:

Q: Below is the graph of y = f'(x), where f'(x) is the derivative of f(x). + -3 -2 -1 1 2 3

A: Explanation:

Q: Use the rules for derivatives to find the derivative of function defined as follows. q = (e2p + 1 -…

A: Use the rules for derivatives to find the derivative of function defined as follows. q = (e2p + 1 -…

Q: Consider the graph of y = (2) shown below in blue. Estimate the value of the derivative at z1. Then…

A: From the given graph we can see that the slope of tangent to f(x) at x = 1 is close to -1

Q: Evaluate the derivatives of the following functions.

A:

Q: Find derivatives of the function defined as follows. y = 1.2e5x

A: Given: y = 1.2e5x

Q: Y = c 2.

A: The product rule of differentiation is given by the following expression:- ddx(uv)=udvdx+vdudx The…

Q: Let h(x)=f(x)*g(x), and k(x)=f(x)/g(x). Use the figures below to find the exact values of the…

A: Given To find h'(0) and k'(-2)

Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

Q: (2) = -2) =

A: In this question, concept of derivative is applied. Derivative A derivative can be used to figure…

Q: Find derivatives of the function defined as follows. y = 5e-4x

A:

Q: Find derivatives of the function defined as follows. y = e-8x

A: We have to find derivatives of the function: y=e-8x We know the formula of derivatives,…

Q: Given the function f(z) shown, which is the graph of the derivative f'(z) ?

A:

Q: Use the definition of the derivative to determine the derivatives of the following functions.   a.…

A: Part a,Given,         fx=1x3

Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

A:

Q: Find derivatives of the function defined as follows. y = x2e-2x

A: The derivative of a product of functions can be calculated using the product rule. Product rule of…

Q: Find the derivatives of the functions g(x) = tan 3x/(x + 7)4

A:

Q: Find derivatives of the function defined as follows.

A: Consider the given function as y=ex+e-xx

Q: Find the derivatives of all orders of the functions y = (x - 1)(x + 2)(x + 3)

A:

Q: g. f(x)=(1–3x)°(x²-2)°

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Given the graph of a function y = f(x) below, select the representation that best corresponds to the…

A: Graph of the function given,we have to find derivative of the function.

Q: Find the derivatives of the following function f(x)  (√x -3x)(x+ 1/x)

A:

Q: f(x) 5 1 -1

A:

Q: Find derivatives of the function defined as follows.

A: Consider a function y is defined as, yx=fxgx The derivative of the function or simply y' is…

Q: 6. y F-2x

A: The given function y=31-2x2

Q: Find derivatives of the functions defined as follows: y = -16e2x+1

A: Derivative of eax  is aeax  So,

Q: Find the derivatives of all orders of the functions y = x4/2 - 3/2x2 - x

A: Important point: derivative of xn = d(xn)/dx = nx(n-1)

Q: The graph shown represents the graph of THE DERIVATIVE ƒ' (x) of an unknown continuous function…

A: Given, Graph of the f'(x) is shown as:

Q: Find derivatives of the functions defined as follows: y = 4-5x+2

A: Given: y=4-5x+2

Q: Shown below is the graph of f'(x), the derivative of f(x). f'(x) -3

A:

Q: Find derivatives of the functions defined as follows: y =x2e-2x

A: From the given data:

Q: (a) Consider the following graph of a function y = f(x): -2 (i) Sketch the graph of the derivative…

A: The graph of the function f(x). We have to find the graph derivative f'(x).

Q: Find derivatives of the functions defined as follows: . y = -8e3x

A: Given: y = -8e3x Formula used: If f(x) is any function and k is a constant then ddxkf(x)=kddxfx…

Q: Find the derivatives of the functions k(x) = x2 sec (1/x)

A:

Q: Find the second order derivatives of the following functions f(x) 3x - x' i) Tan 1-3x

A:

Q: f(x) = loga x

A: ddxlogax

Q: 4) Find the following derivatives using derivative rules, not the definition. a) f(x) =x -3F+5

A:

Q: Given the following graph of f(x) , use your understanding of derivatives to sketch a graph of f'(x)

A:

Q: Find the derivatives of the functions p = √3 - t

A:

Q: Find the derivatives of the functions defined as follows. y=12tan(9x+1)

A: Given: y=12tan9x+1

Q: Use the graph below to find exact values of the indicated derivatives, or state that they do not…

A: The graph of the functions fx and gx are given that. And their composite function is hx=fgx. Now,…

Q: Find the following derivative 1 g(x) = 2* · (x² + 1)

A:

Q: If f(x) =2x2 - x3 , find f'(x) , f" (x), f"'(x) , and  f(4) x.Graph f , f' , f" , and f"' on a…

A: Given: f(x)=2x2-x3Differentiating f with respect to x  ⇒…

Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…

Q: Find the derivatives of the functions y = 8-t

A: Known fact: ddxkx=kddxf+g=dfdx+dgdx

Q: Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a…

A:

Q: Find derivatives of the functions defined as follows: y = -4e-0.3x

A: Our Aim is to find the derivative of the function given below:-y=-4e-0.3x -(i)

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: