Use the graph below to find exact values of the indicated derivatives, or state that they do not exist.  f(x) is black, g(x) is blue.

Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

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: Find derivatives of the functions defined as follows: y = 73x+1

A: y=73x+1ory=73x·7ory=7·73x Use formula of derivative ddxax=axln a

Q: Find the derivatives of the functions y =1 + x - 4√x/x

A: We distribute the denominator and then write using exponents

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A: The function f(x) = x3 + 8x, we have to find the derivative of this function at c = 5 using the…

Q: Use the alternative form of the derivative to find the derivative at x=c ( if it exists). f(x) =…

A:

Q: Use the rules for derivatives to find the derivative of function defined as follows.

A:

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

A:

Q: Find derivatives of the function defined as follows.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Find the derivatives of the functions y = (x + 2)x+2

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x2…

A:

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

A: Part a,Given,         fx=1x3

Q: Let y=x+∣∣x2−8∣∣. Find the derivative of the function at x=3.

A: Given that y=x+x2-8.

Q: Find the derivative of the function below using the definition of the derivative. f(æ) = /T– 2x

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: f (x) = D윽과+1

A:

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

A:

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

A: We know that  ddxxn = n·xn-1

Q: what is the derivative of the following function; y = x 2e -3x

A:

Q: Find the x-values where the following do not have derivatives.

A: Given graph:

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: Find the derivatives of the following functions.

A: We have,  y= x3arcCosx3Apply chain rule , y =uv = dudxv +dvdxudydx = d(x3)dxarcCosx3 +darcCosx3dx…

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

A: Derivative of eax  is aeax  So,

Q: b) f(x) = (e* (Inx² – 3))*

A:

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

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

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

A: From the given data:

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 y = 10e-x/5

A: Given: y=10e-x5

Q: f(x) = loga x

A: ddxlogax

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 defined as follows. y=12tan(9x+1)

A: Given: y=12tan9x+1

Q: Find the derivatives of the functions y = x3 - 3(x2 + π2)

A: the given function is: y=x3-3x2+π2 we have to find the derivative of the given function.

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Find the derivatives of all orders of the functions y = x5/120

A:

Q: Find the derivative of the following function: y=x(x2+2)(x3−3).

A: Given function is y=xx2+2x3-3. Power rule of differentiation states that: ddxxn=nxn-1 Product rule…

Q: f(x)=

A: we know derivative rules, Common Functions Function Derivative Difference Rule f - g f' − g'…

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

A: the given function is: y=1.2e5x we have to find the derivative of the given function.

Q: Find the derivatives of the following functions. x(1+x*)

A:

Q: Find the higher order derivatives for f (x)=x^5, what is f^(6) (x)?

A: According to the given information f(x) = x5 and it is needed to calculate f6(x).Since, if p(x) is a…

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

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

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: Find the derivatives of the functions y = 1/(x2 - 1) (x2 + x + 1)

A:

Q: Find the derivatives of following functions e2x f(x) 1- ex

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: