The graphing calculator window shows the graph of a function f(x) and its derivative function f'(x). Decide which is the graph of the function and which is the graph of the derivative. Choose the graph that is the function and the graph that is the derivative. Y2 Y, is the graph of the derivative. Y2 is the graph of the function. O Y, is the graph of the derivative. Y, is the graph of the function.

Q: Find the derivative of the function. y = Vs3 +9 Enclose numerators and denominators in parentheses.…

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Q: Find the first derivative of the following functions. Use the formulas. 1. For y=√25-x^2, find the…

A: Using slope of a curve of y = f(x) at x= a is f'(a),

Q: Find the derivative of the function. y = x(8−3x)

A: To calculate the derivative use the u by v rule: ddxu·v=udvdx-vdudxv2

Q: 5. y- Br*-+습

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Q: Find the indicated derivative. x2 Find f(3)(x) if f'(x) = x2 + 6 f(3)(x) =

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Q: Find the derivative of the given function at a given number. 1. y = 3x² - 2 at f'(1)

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Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

A: Given: There is a sharp point at x = 1. So, the function is not differentiable at x = 0.

Q: Find the derivative y = (1/√x)+ (1/x^3)

A: Consider the given function as y=1x+1x3

Q: (1) Using the definition of derivative, find the derivative of the following functions: (a) y = xVx2…

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Q: Find the derivative of the given function. y = x7 y =

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Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: fx=32x Now,…

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Find the derivative of the function.   f(x) = ex2 + 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: Find the derivative of the function y=√x2√x.

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Q: Find the derivative of y = 2^x + 6/x^7

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Q: Find the derivatives of the functions y = 1/xsin-5 x - x/3cos3 x

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Q: Find the derivative of y with respect to x use the given relation and it's implicit form 1. If x^2=…

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Q: (x)=(2x +3) ² at x = 0. Find the second derivative of the function

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Q: Find the derivative of the function. y = (x + 1)2ex

A: The given function is y=x+12ex

Q: x + Va x2 1. Find the derivative of the function f(x) = in two different ways. Once with the…

A: 1 Given function,                  f(x) = x+xx2Differentiate f(x) with respect to x, using quotient…

Q: f(x)= 4/x , x=3. Use definition of derivative as x approaches 0

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

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

Q: Find the derivative of the function g(x)=e^x/2−x g'(x)=___

A: To find the derivative of the function gx=ex2-xg'x=?

Q: 8. Evaluate the derivative of the function y with respect to x. y = 5*e*

A: This question is related to differentiation, We will solve it using given information.

Q: (i) Find the first derivative of the function: y = 4x - 2x3 + 5 (ii) Differentiate the…

A: Given : (i) y = 4x - 2x³ + 5 (ii) y = 2 - x⁴ + 3/x

Q: Compute the derivatives of the following functions. Find the value of the function and the slope at…

A: Given:     a(x) =3x+cosx

Q: Find the derivative of the given function.     y=x^3/5

A: Use power rule to obtain the derivative of given function.

Q: Find the derivative of the function and then evaluate at the given point. y= 3x- 4x; (- 1,7) f'(x)=D…

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Q: Find the derivative of the function. f(x) = ex2 + 6 f '(x) =

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Q: Find the derivative of y with respect to x. (x-y)^2=2ax

A: The given function is: (x-y)2=2ax To find the derivative of y w.r.t. x.

Q: Find the derivative of the function. f(x) = ex2 + 5

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Q: Find the derivative of the function. y = x + 5 y' = Your answer cannot be unde

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Q: Find the derivative of the function. f(x) = ex2 + 2

A: We use the chain rule for derivative

Q: find the derivatives and simplify f(x)=1/x (A) Find f ′(x) using the quotient rule, (B) Explain…

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Q: (x²+7) Yキ 7. フーX

A: We use first derivative devide rule and differentiate of y . Here i provide full solution of this…

Q: y= 5e* 5e

A: some important differencials

Q: Consider the following. x2 f(x) x + 4 Find the derivative of the function. f'(x) = Find the slope m…

A: From the given problem:   fx=x2x+4ory=x2x+4 a).   So the derivative of the function is:…

Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: 3.) Y + y = x" ן1

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Q: Find the derivative of the following functions. With solutions y= x100

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

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Q: Find the derivative of the function. 2 1 3 h(x) x3 h'(x) =

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Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

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Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

A: Given that y=5x+7x3

Q: Find the second-order derivative of the following                   y = 10xe5x

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Q: Find the derivative of the function y= 5,3x 2x+3 The derivative is

A: Topic -derivative

Q: Find the derivative of the following function: y=1-x/√2-x

A: Given: y = 1-x2-x To find: Derivative of the given function.

Q: Find the derivative

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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: