Find the derivative of y with respect to x. (Hint: chain rule) y = -csc-1 24 V(8x + 92 - 9 24 (8x + 9N(8x + 9)2 - 9 -24 (8x + 9N(8x + 9)2 - 1 -24 1+ (8x + 9)2

Q: Find the derivative of the astroid x2/3+y2/3=a2/3.

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Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Find the derivative of g(u) = square root of ((u+1)/(3u+2))

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Q: 1. f(x) = e3x B. Find the derivative of the following using chain rule 1. f(x) = (x3-6x + 1)9 %3D 2…

A: i solved part second as per student

Q: Find the derivative of the function. 7x-4 y3D y 6x+1 The derivative is y' =

A: Given y=7x-46x+1We know that…

Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16.…

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Q: 1. Find the derivative using chain rule. (a) f(x) = (x5 – 2)20 %3D Answer: (b) f(x) = V3r² + 1 %3D…

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: Evaluate the derivatives of the given function for the given value of x. y" = (4x^2-5x+4)…

A: For evaluating derivatives we put x =5 in the given equation.

Q: .) What is the inner and the outer functions? b.) What is the derivative o

A: Given : The function is f(x) = x2+ 3x +1 .

Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

A: Note:- Derivative of the product of two functions is ddx fx·gx  =f'x·gx+fx·g'x   Part (1):-  Given…

Q: Using the definition of a derivative, find y (5) given y(z) -6z+4 6z-2 %3D Provide your answer…

A: Given function: yx=-6x+46x-2

Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (3x'-2)' u? a) y= u…

A: We have to calculate derivative of the given functions.

Q: Find the derivative of y with respect to x. + 1 5) y = sec-16x + -54 A) – 1 + (6x + 1)2 54 C) (6x +…

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Q: What is the derivative of y + x + y² = x ? O y : 1- 3z2 3y2 + 2y 1+ 3x? 3y? + 2y O y = 1- 3x2 3y? +y…

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Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

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

A: Since you have asked multiple question, we will solve the first question for you . definition of…

Q: Using the definition, find the derivative of f(z) = 3 z4-6 z? at point z= 0

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

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Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: 1. Find the derivative of the expanded function  a. a^2x^2+2abx+b^2 b.…

A: 1. a) Given, a2x2+2abx+b2 Consider,  y=a2x2+2abx+b2 Differentiate with respect to x,…

Q: (A) Find the derivative of y with respect to x of (x+1)5 1. у%3D (x+2)20 2. y = (x2 + 1)-2(x* + 1)3…

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Q: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: What is the derivative of y = (x2 + 1) e-3 ? O y = (x² +1) (e-3) + xe² - 3 O y = (x² +1) (e*-3) +…

A: It is required to find the derivative of the given function.

Q: (2+2)5 Find the derivative of f(z) = 2-i

A: We will use the formula uv' = vu'-uv'v2 Given f(z) = (z+2)5z-i

Q: Evaluate the derivatives of the given function for the given value of x.  y = (x^2-3x+3)…

A: y = (x² - 3x + 3)(5 - 5x - 2x²) So, y' = (2x - 3)(5 - 5x - 2x²) + (x² - 3x + 3)(- 5 - 4x)

Q: 2. Find the derivative using chain rule. (a) f(x) = 5(2.r + 3)3 Answer: (b) f(x) = (x - 4)*(2x +3)…

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Q: 3. Find the derivative of ywith respect to x in the following functions: 18x y (3x-2 + 4x) x'- 3 a)…

A: Please see the explanation below

Q: Find the derivative of the given function a. y= (2x-3 / 5x+1)4 b. 6x2-11x-x3+6 / -4x2+x+x3+6

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Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

Q: Activity 1: Find the derivative of y with respect to x. 1. y = 3x - 5 2. y = 6 3. y = x2 + 4x 4. y =…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.

Q: x3 - 2/x + 1 Using quotient rule, which of the following derivatives is true for the function y = 2r…

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

Q: Find the derivative of the function. y = (3x + 1)°(x+ - 6)° A y=(32x +9)(3x +1) (x*-6)° B y' = 9(3x…

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Q: What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the…

A: The function is given by y = 5x2-x+53-3x-x2 To evaluate : The value of y' at x =-4

Q: Example3: a) Find the derivative of f(x.r.:)= r - -: : at P(1.1.0) in the direction of 1= 2i-3j-6k.

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Q: Find the derivative of: y = 4x^2 – 1/x   y’ = 2x – x^(-2) y’ = x^(-1) + 8x y’ = 8x - x^(-2) y’ =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Use the product rule to find the derivative of the following.   ​p(y)=( y^-1+y^-2)(2y^-1-5y^-4)…

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Q: 20. The fourth derivative of y = Jx-1 is 15 В. - 16 8 D. - (x-1) 16 A. (x-1) C. - 8

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Q: Find the indicated derivative. 0.2 .2.9 fu)= 8u°2-9u²9 f(u) =

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Q: Q2. Find the derivative (the first derivative): a- Y = In (7-2 x 3 )4 Y= (3 x4+9)/(x+5) C- b- 100=…

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Q: Find the derivative of the function described. (Rx5) 1. у %3D (2х + 3) (5х — 4) y = | Зх-1 2. f (x)…

A: Let's find.

Q: Find the derivative of the function. u(x) = (x2 + 1)9x2 − 1 u'(x) =

A: The function u(x) is:

Q: how can i derive these, and have the asnwer with positive exponents only

A: Solving the 1st problem: Given:

Q: 7. The derivative of g(x) = x - 2x? + x - 1 is g'(x) = 3x – 4x. 8. The derivative of R(z) = 2 is…

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Q: y = (4x + 3)/ln[2x2 + 3x - 5] y = 3( e2x + e-2x )(x2 - 4

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Q: Q/2: Find the derivative of the following: (a) y = (x²ln x)* (b) y = In 1-x

A: According to power rule of differentiation . According to product rule of differentiation .

Q: -6x 11x-5 + 22x-1 +5' — 6х 4 — 13х 3 2. (7 points) Find the derivative of h(x) = Do NOT simplify.

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Q: (n2 – 1)* 31. H (r) = (2г + 1)8

A: In the question it is asked to calculate the derivative of H(r)=(r2-1)3(2r+1)5 using chain rule.

Q: fidn the first derivative of y with respect to x using increment method y=2x^2-5x+7

A: