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

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y= xVx-2…

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Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: 2. Next we plotted the slopes of g(x) = x2 and h(x) = x³. What was g'(x)? What was h'(x)? h'(x)= 3x…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Find the second derivative of the function y=x(x² – 1)² A) None of the given choices B) 2x(5x2 - 6)…

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Q: Determine the derivative of y (x) = ( 3 x² + 11 x + 4 )³ e-6 x with respect to x. y '(x) =

A: topic - derivative of a function

Q: (A) Find the derivative of t² – 1 y = t2 + 1

A: The identity used is d(uv)dt=v *dudt-u*dvdtv2 where, u and v are the functions of t.

Q: f(2o+h)-f(x0) h 7- What is the approximate derivative of f(x) = 5x³ + 4x² if we use forward…

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Q: Given y = (ax? + bx )e -bx where a and b are constants. Find derivative of y with respect to x. e-bx…

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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: B. Find the indicated derivative. (15 pts) -4 y =;y(3) 2. x2 – 4y2 = 5; y" x2 -

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Q: Find the derivative of the function

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Q: g(x) = e v find the derivative g'(x). 1 2e* 1 cev 2Vx e. B. A.

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Q: Given the function z=(x2+1)(x−1). Find the value of its derivative at x=−1.

A: The given function is z=x2+1x-1

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

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Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

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Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: If the slope of a graph of a function is constant at a point, then the slope of the graph of its…

Q: V². Find the derivative of f(x) = In x² +1 %3D x(2r - 1)2

A: Derivative: f(x)=lnx2+1x(2x3-1)2ln(mn)=ln m-ln nln(x2+1)=12ln(x2+1)

Q: The given problem needs the fırst derivative. Find the first derivative. a² x Y= a2 + x

A: Here we have to find the first derivative of the function. dxndx= n xn-1

Q: Given that h(x) = xi + what is the anti-derivative of h(x)? (Do not include the constant C'in your…

A: Anti-derivative

Q: Q2: A) Find an equation of the line tangent to the function of x2 + (y-x) = 9 at x = 1. dy x-x B)…

A: Equation of tangent line is - y- y1 = m(x-x1)

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: 3.3 Find the derivative. y = 3x°e* %3D y' = II

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Compute the derivative: d x4 – 4 dx \ x2 – 5 lz=D3 The derivative is:

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Q: 2x+5 e. y = 3x-2 f. y = (2x? + 2)(x² + 3)

A: Derivative of the function y=f(x) is the measure of rate of change of y with respect to x.…

Q: Using the definition of a derivative, find s' (x) given s(x) = -x² – 5x + 8. Provide your answer…

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Q: Using the definition of derivative, find the derivative of the following functions: (a) y = xvx² -2…

A: (1) Y = X*(X2-2)0.5       dY/dX = (X2-2)0.5  + (1/2) *(1/(X2-2)0.5) *…

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: Using the definition of a derivative, what is y'(z) given that y(z) = z* +z² – 5z +3? (Do not…

A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Let f(x) = √(x2 + 3x +…

A: (a) fx=x2+3x+1 Inner function : u=x2+3x+1. Outer function : y=u.

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y = xvx²…

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Q: Find the second derivative, d72 where y is related to x implicitly by the equation below. 5a -y = 10…

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Q: x² + 1 What is the derivative of y= - x2 + 4 A None of the given choices 10x B (x² + 4)²

A: The given function is y=x2+1x2+4 Differentiate with respect to x,

Q: Using the definition of a derivative, find t'(3) given t(1) =2 -9z-1 %3D

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Q: 2. Find the derivative of each function a) y=(2x+5)/(3x-2) b)f(s)=((square root of s)-1)/((square…

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Q: Find the implicit derivative given a³ – 2b² = 7ey

A: For the implicit differentiation, we take y as a function of x and a, b are constants. We are given,…

Q: Find the derivative of the function. h(s) = -2 -2V9s + 1 2 h'(s) %3D

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Q: (A) Find the derivative of t2 – 1 y = t2 +1

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The value of the second derivative of y = f(x) at its point of inflection is В. О D. 2 А. 1 С. -1

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Q: Find the derivative of the function.

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Q: Using the definition of derivative, find the derivative of the following functions: 1 (c) y= 2x (a)…

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Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

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Q: f(x) = √√/5x+8 What is the derivative of f(x)?

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Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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