f(x) = x³ -x² ,[-1,2] 5. g(x) = (3,5] 4. x-2

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: 11. Differentiate the function (use chain rule): y = x²(x-1)³(2x-5)² ;

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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  g(z) = 4z7-3z-7+9x

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Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ +…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: Find the derivative of f (x) = x2 + 2x + 2.

A: The given function is, fx=x2+2x+2 To find the derivative of the function, we use the power rule of…

Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

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Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

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Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

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

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Q: of n'(x)= 2x-1/x2-x

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Q: зах (х+2)/x2+4x+3

A: Please refer the attached image for complete solution. THANK YOU.

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: 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: =) f(x) = x²e¬4x

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Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

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Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: If y = csch4 2x°, find the 1st derivative a. 20x*csch42x° coth 2x5 b. -40x4 csch4 2x° coth 2x c.…

A: Some derivative formulas: ddx(f(x)g(x))=f(x)ddxg(x)+g(x)ddxf(x) ddx(u(v(x)))=u'(v(x))ddxv(x)…

Q: Find the first and second derivatives of the functions

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Q: How can you display the values of a function ƒ(x, y) of two in-dependent variables graphically? How…

A: For a  function ƒ(x, y) of two in-dependent variables. It can be plotted graphed using 3d plotting…

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

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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: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

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Q: Find the derivative. 1) f(x)= V7,7x A) 7.7)4/5 B) 7.7)-1/56 ,7) D) 2) y = x/10x-8 15x-8 A) 15x B)…

A: 1) Obtain the derivative of f as shown below: f'x=ddxx7+7x5       =15x7+7x-45ddxx7+7x…

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: 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: Find the derivative for f (x) = V4 + e2x a. e2x /4+ e2x b. 1 2v2e2x xe2x-1 /4+ e2x C.

A: To find the derivative of fx=4+e2x.

Q: Find the second derivative of .2 y = Vx² + x-3 O 6/x^2 O 12/x^3 O 6/x O 12/x^5

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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 first 3 derivatives of f(x)=-5x^-2

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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 second derivative of y² + 2x³ =1– 4y

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Q: What is the second derivative of y = 6x+ – 3x³ + x2 – 5 a. y" = 24x3 – 9x2 + 2x b. y" = 144 C. y" =…

A: As per guidelines we will solve only  the first question  in the following step. If you want more…

Q: f(x) = (x2 + x) (x* - 6x)3 %3D

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Q: 5. f(x) = [(x + 5)5 – 1]4

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Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

Q: Find the first derivatives: 3. g(x) = (1 + 2x²)(x – x²)

A: As per bartleby guidelines we only give first question answers.

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

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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: 3. Derivative of g(x) = 2x + xª − 7x² +3 b) 12x³+4x³ - 14x +3 c) 12x6 +4x² - 14x²_____d) 12x³+4x³ -…

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Q: The function f (x) = ax³ – bx² has a gradient of 2 at point (1,6). Find its gradient when x = 2.

A: Given  f(x) = ax3-bx2

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 f(x) = 4x5 +3x + 3 f(a) = 4x + 6x + (a) = 20a + 6æ + a f (x) = 4x4 + 3x + ¤…

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Q: Find the derivatives of the functions . 1. y = x5 - 0.125x2 + 0.25x 3. y = x3 - 3(x2 + p2) 5. y = (x…

A: Given,

Q: Find the first derivative: y = In V2x3 -5 222 O y' = 2z3-5 5z2 O y' = 223-5 3z2 O y'= %3D 223-5 O y'…

A: Using Chain rule Y= f(g(x))  so Y' = f'(g(x))•g'(x)

Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.