If f(x) = 3r³ – 2x², what is f" (x)? Enter the answer in the box. f"(x) =

Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?

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Q: Find the first and second derivative if y = x3+3x2+7

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Q: 4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? a. 9x² – 4x – 12 b. (2x)(3) C. 6x d. (x…

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: Suppose that f(x) dx = 5. Calculate (4f(x) + 3) dæ-

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Q: -f(x) = x* – 6x³ –+ Vz7 %3D f'(x) = %3D id x5

A: Given,            f(x) =72x4 - 6x3 -2x5+x73

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: Suppose the daily cost C of manufacturing is given by C(x)=80x+4800 now hte average daily cost is…

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Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x…

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer…

Q: Find the third derivative of f(x)=12x0 –3x² +4x°+5x²+6

A: Given

Q: For f(x) = (2a* + 3x)(5x*), find the derivative of f(x). 80x7+ 60x3 20x7-30a3 O 10z8 + 15x4 O…

A: We will use concept of differentiation to solve this.

Q: Find the higher-order derivative. f"(x) = 16x³ – ? 34x f'"'(x) = %D

A: To find the third order derivative , we need to differentiate the gives function with respect to x.

Q: Find the first and second derivatives of y = 2(3x³ + 5x² – 2)13

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Q: 3x² (9 – x² ) 2 2 (9 — 3х2)

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Q: The first derivative of f(x) = (5x* – 6x)-3 will be 18 – 60x3 18 – 60x³ А. (5x4 — 6х)-4 В. (5x* —…

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Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

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Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: Differentiate. xex - f(x) x + eX x². e* + e2x + 8 + 8e* f '(x) = (x+ e*)? 2

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Q: The graph of f(x)=2x^3+6x^2−144x+6 has two horizontal tangents. what are the positive and negative…

A: See the details solution in below

Q: 1 y = 8x* + 7x³ + =x² – 14x + 6 %3D -

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Q: Find the second derivative. y = 6x° - 5x² + 3 e * O A. 24x- 10 - 3 e* O B. 10x-24-3 ex O C. 36x - 10…

A: To find the second derivative: y=6x3-5x2+3ex Solution: y=6x3-5x2+3ex Differentiating both sides…

Q: f (x) = 3.x5 5x3.

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Q: Find the second derivative of y² + 2x³ = 1 – 4y

A: The given equation is y2+2x3=1-4y Rewrite as  y2+2x3+4y=1 differentiate…

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: 3. x² + 5x + C .2

A: Derivative of xn is ddxxn=nxn-1.

Q: The higher derivative of y = 5x³ – 2x is O 15x2 – 2 О 30 O 30x

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Q: Plot f (x) = x e - x and use the zoom feature to find two solutions of f (x) = 0.3.

A: Using a graphing calculator we plot f(x)

Q: I am given the equation f(x)=(4/x)+3. How would I use the definition of the derivative?

A: According to the question, we have to find the derivative using the defination of the expression…

Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: -y = a(10z² –8z+7)

A: Using composite derivative formula.

Q: Find the second derivative of y² + 2x³ =1– 4y

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Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex

Q: Consider F = (4x°y+0, 9x³ + 5y+). Then div(F) = Aæ²y!0 + By³. What is the value of B?

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Q: (B) Solve f(x) = x³ – 2x – 5 using Secant Method, correct up to 3 decimal places. Where xo=2 and x1=…

A: Given that fx=x3-2x-5  also x0=2 and x1=3 solve it using secant method

Q: Find the equation of the line tangent to f(x) = 4x³ + 9x – 7 when x=3. O f(x) = 135x - 288 o f(x) =…

A: Given, f(x)=4x3+9x-7 and x=3 The equation of a line in point-slope form is given by y-y1=mx-x1…

Q: Solve the DE f'(x) = 5x given that f(0) = 3.

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Q: The derivative of f(x) = 10 (x2 + 13z) is О 10х + 130 О 10х ?(2т + 13) O 10 O -10x 3(2x + 13) O -…

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Q: 3) Find the derivative of f (x) = Vx3 – 4x²

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Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

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Q: f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10||   From function,   The derivative of function f(x) for x≥10…

Q: Find the Derivative of the Function: 2x2 3 | f (x) 5x? 6

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Q: Determine the value of ∫k4 f(x) dx given that ∫49 f(x) dx=−9 and ∫9k f(x) dx=−3.

A: We have to find following definte integral .Information is given below:

Q: Find the derivative off(x) = 5(7x3−2x+ 1)−3.

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Q: Q 4. Use ab-initio method and find the derivative of 3x +5x² – 2x-12.

A: ab-initio method is nothing but differentiating the function using basic principle of…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.