f(x) = 1- (x - 1), xs2 lx-2, x > 2 y y 10 10 5 -10 -5 10 - 10 -5 10 -5 -5 - 10 -10 y y 10 10 5 - 10 10 10 -5 5 10

Q: Use the chain rule to find the derivative of f(x) = 3(9z* – 82®)5 - You do not need to expand out…

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Q: Find f-1 if f (z) = iz + 1.

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Q: Find the partial derivative. 3 (x² +3x-3y) 2.

A: Given  z = x2+3x-3y4 We have to find ∂z∂x.

Q: Find the derivative of the function f(x) = -8x² – 18x + 23 by definition of derivatives f(x + h) –…

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Q: Find (f - g)(x) if f(2) = 7x³ – 52² + 42x – 30 and g(z) = 7 O (f · g)(x) = 49zª + 269x² + 150 O (f·…

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Q: Vx + 2 Determine where f(x) = is continuous. In(3x – 5)

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Q: Let f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and…

A: For local maxima or minima:The first derivative test is f'(x) = 0The second derivative test…

Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

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Q: Find the first and second derivatives of the functio f(x) = x(x² + 4)2 %3D f'(x) = %3D f" (x) = %3D

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Q: 10x-9y-0-11 the same as -10x-9y+11? Or is it just -10x-9y-11 when finding Partial Derivative?

A: Reprieve is to clarify the doubts.

Q: how derivatives of : a. y = ex^3+5x3 b. y = ln(2x4+2)3

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Q: The first derivative of f(x) = will be 5x* – 6x 10х3 — 3 В. (10х3 — 3)/(5x* - 6х) А. V(5x* – 6x)³ 3…

A: Given function is f(x)=15x4-6x

Q: Find f-(-1,1) of the function: f(x, y) = x + xy +2a°y?

A: Let's find.

Q: ii.) Find the derivative of f(x) = x°(2x* + 5x³ – 3)5 when x = 2. %3D

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Q: Find the absolute maximum and minimum of f(x)=x² - 3x on the interval [-1, 3]. Express your answer…

A: The points of local maximum and minimum can be obtained by differentiating the function and equating…

Q: Find the derivative of function (x+2)² (x – 1)3* f(x) -

A: f(x) = x+22x-13f'(x) = x-13×2x-2-x+223(x-1)2x-16f'(x) = x-12x+22x-1-3x+2x-14f'(x) = x+22x-2-3x-6x-14

Q: 3. f(x)=(2x^2)(3x^2-x+7) 4. f(x)=-3(2x+7)^5   Need to find the derivative.

A: 3. Given function is Differentiating with respect to x, by using product rule of differentiation…

Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: Find the derivatives of the function f(x) from the first principle x4+4

A: Here is the solution

Q: Q4: Find and classify all critical points for the function: z2 = (x3/3)-(y3/3)+2xy

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Q: If I have f^-1(x)= -x+1 how can I find f(x)?

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Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: Find the second derivative of the function  f(x)=[3x3 +7]7

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Q: f(x) = √x2−2​ ; x = 2 what is its derivative?

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Q: Suppose you are working with a function f[x, y] and you find that f(¹,0) [x, y] ƒ[1, 0]? Why or why…

A: Given: A function fx,y such that f1,0x,y<0 for all points x,y.   To determine: Whether…

Q: Find the first and second derivatives of f(x). f(x) = 3x – 4x + 2 f'(x) = 2 9x – 4 f''(x)

A: Recall: dxndx =nxn-1.

Q: Find the anti-derivative F(x) of the function f(x) = 2x - 7 with F(2)=55- %3D

A: We have to find the anti derivative of the given function following the given condition. anti…

Q: Find the first and second derivative if w = 3z-2-(1/z)

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Q: Find the second derivative or f"(x) for f(x) = / 2x + 5. %3D 1 (2x + 5)3/2 (2x + 5)!/2 (2x + 5)3/2…

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Q: If f(x) = x-2 x² +4 then what is the derivative of fat x=2?

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Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: Find the derivative. 4 20) f(x) = 4 2 ,find f'(x) + 4 10 2 B) - x3/2 x2 x4 4 10 A) x1/2 x2 x6 4 10 4…

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Q: Find the value k that makes the function continuous. kx f (x) = x > 9 - -7x – 7, x < 9

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Q: Test f(x) = (x3/3) +2x2-5x+1 for relative extrema, using the second-derivative test where possible.

A: For a given function,f(x), at relative extrema x=a, f'(a)=0.The second derivative test is applied to…

Q: Find the derivative of the algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: 5. f(x) = [(x + 5)5 – 1]4

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Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

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Q: The critical points for the 4 function f(x) = x + – is:

A: Given,          The function is fx=x+4x .

Q: Find f'(x). f(x) = e – x³ arctan(x) -(3 + 3x2 arctan(x) + arctan(x)(3x4)) x2 +1 f'(x)

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Q: Use the chain rule to find the derivative of f(x) = 4( – 5æ" + 3z")" %3D

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Q: 2. Use the definition of the derivative to find f'(7) if f(x) = 4 + 3x – 2x.

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Q: Find the derivative of the function xA F(x): - 4x³ + Vx x2 in two ways. Show that your answers are…

A: Given function is : Fx=x4-4x3+xx2 Differentiating the Fx using quotient rule ,…

Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

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Q: Find Derivative f'(x): f(x)= 5e²x - 40e(-0.1x) + 11 + In(4x)

A: Given f(x) = 5e2x - 40e(-0.1x) + 11 + ln(4x)

Q: Find the derivative of the function. %3D X-1 y'= 23,3,2 (x-12 y = -2+3x2 (x- 12 y = 203ి - మెపి (x -…

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Q: find the derivative of the function:   f(x) = det [ -1  -4  3  -4  -3 ]                  [  3   0…

A: To Determine: find the derivative of the function that is f'(x) Given we have a determinate…

Q: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132

Q: The function f(x) = 2x° – 33x + 180x 2 has two critical points. The smaller one is x = and the…

A: We have to find

Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 A) - = 2(x+ 1)(x2 + 1)-4(2x2 - 3x - 1) B) Y =-2(x +…

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