he graph of a function is shown together with the tangent line at a point P. Estimate the derivative of f at the corresponding x value. (Assume a = 6 and b = 12.)

Q: a. Find the derivative of f at x. That is, find f'(x). b. Find the slope of the tangent line to the…

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Q: following

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Q: Graph the derivative of the function graphed on the right. Choose the correct graph below. OA. O B.…

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Q: Evaluate the derivative of  the image  if a = 90 and b = 0.5 at x = 4 using CDA  with Δx =0.11.…

A: For the given values of a, b and c, f(x) is given by f(x)=90cos0.5xx2

Q: Find the derivatives of the following function.

A: Find the derivatives of the following function.

Q: Find the derivative of the given function. Y = 34

A: The given function is:y=34

Q: 33. G(x) = 4C/s

A: on doing differentiation with respect to  x we get

Q: Use the definition of the derivative to find the derivative of the following functions. 1. f(x) = 6

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=6.

Q: Calculate the derivative of the following function. y = (csc x + cot x)18

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Q: Find the derivative of the function using the definition of derivative. g(t) = 7/(t^1/2) g'(t) =?…

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Q: If someone now told you that the derivative (slope of the tangent line to the graph) of f(x) at x=2…

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Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is…

A: Follow the procedure given below.

Q: Let f(x) =x^3-6x. Calculate the difference quotient f(3+h)-f(3)/h for h=.1 h=.01 h=-.01 h=-.1 #2. If…

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Q: Using the definition of the derivative, find f'(x) for the following function. 4. f(x) = - x² + 8x -…

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Q: a. Find the derivative of f at x. That is, find f '(x). b. Find the slope of the tangent line to the…

A: Given,           fx=-4x+1 ; x=-1 , x=2

Q: Find the derivative of the following functions.

A: Derivative of a function represents rate of change of that function.

Q: please show ALL your steps

A: we are given a function

Q: -3x Suppose . What is the correct result of the derivative of h with respect to x?

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Q: 45° а. с. b. d.

A: (a) From the given graph, it is the straight line that is parallel to x-axis. Therefore, the…

Q: In the given question , find the derivative of the function?   f (x) = cosh(8x + 1)

A: We know that, ddx(cosh x)= sinh x   Chain rule: d(f(g(x)))dx=f'(g(x)) g'(x)

Q: Find, or approximate to two decimal places,the derivative of the function f(x) = ex sin x at the…

A: fx=ex sinx By using graphing utility, we get

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

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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

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Q: Given

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

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Q: fw= メー3

A: Consider the provided question, We need to find the derivative of  fx=1x-3

Q: The derivative of the following fu with respect to x when y: -1

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Q: Findthe derivative of each function and evaluate the derivative at the given value of a.

A: Solution;Given    f(x)=tan xx-1Formual:ddx(uv)=uv'+vu'ddx(tan x)=sec2 xlog ab=b log atan x=sin xcos…

Q: In the given question , use the alternative form of the derivative to find the derivative at x = c,…

A: To find derivative: f(x)=x-6,c=6. Solution: By definition:…

Q: Given the graph of the function above, which of the following would be the graph of the derivative…

A: Given graph is a graph of quadratic function.

Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value…

Q: Find the second derivative of the function.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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 derivative of the following​ function, where a and b are nonzero constants. y=asinx + bcosx…

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Q: Find the derivatives of the following functions.

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

Q: Let f(x) = 12 – x2 The slope of the tangent line to the graph of f(x) at - the point ( - 3, 3) is…

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Q: Give the derivative formula for the function. h(x) = 12(1.7*) h'(x) =

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Q: Explain why the functions ƒ and ƒ + C, where C is a constant, have the same derivative properties.

A: It is known that the derivative of constant function is always 0. Also, It is known that the…

Q: (b) Find and simplify the derivative of the function f(x) = /

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Q: Suppose f(x)= √1 − 3x a. Use the definition of derivative to find the slope of the tangent line to…

A: Given: f(x)= √1 − 3x To find: a. Use the definition of derivative to find the slope of the tangent…

Q: The derivative of a constant times a function is 0. OTrue O False

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Q: The derivative of the function ein(10) is equal to

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Q: Answer the following question Find the 12th derivative of the function ()65

A: To find,  12th derivative of the function x265.

Q: Let f(x) 2x. Calculate the difference quotient f(3+h)–f(3) for h h = .1 h = .01 h = -.01 h = -.1 If…

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

A: Given hx=x+8, c=-8

Q: Find the derivative of the following function given

A: Our Aim is to find the derivative of the functions given below:-y=sec2 (x)-tan2 (x)  -(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: