Use the definition of the derivative to determine dx (ax² + bx + c), where a, b, and c are constants. Let f(x) = 5x² – 8x + 4 and use part (a) to find f'(x). Use part (b) to find f'(3).

Q: Compute the derivative using derivative rules. y = (2e3x + 3e-2x)4

A: Solution:Given     y = (2e3x + 3e-2x)4 Formula:ddx(xn)=nxn-1ddx(eax)=a eax

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

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

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

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Q: Find the first and second derivative by using implicit differentiation  xy+8y2=4

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Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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Q: Use the chain rule to find the derivative of the function z = x2y3 − x along the curve given by x =…

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Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: Find the derivative of F(x) = 4 sin(t) dt. 3x2 dx Jcos(x)

A: Given that,

Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: Use forward difference approximation to estimate the first derivative of the following equation.…

A: Given that, fx=-0.15x3-0.2x2-0.5x+2.25h=0.5We need to find the first derivative of the function at…

Q: F(x) 1+ xe

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Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

Q: Find the derivative of the function. 3x2 g(x) • dt 4 + t3 tan x g'(x) =

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Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Find the derivative of the function. y = (( 1- cos 2x ) /( 1+ cos 2x ))4

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Q: find the equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: Calculate the derivative of the function below using the quotient rule. x4 y = Vx + 2x4 f(x) = and…

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Q: Find the derivative and simplify exy -x² = 4Y² %3D

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Q: Find the derivative of f(z) = 3+ 2x² – 2y² + i4xy .

A: We find out the derivative of given function .we differentiate both sides with respect to z and take…

Q: find the derivative of the funciton y=xe^(5x)

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Q: Can you help me step by step?

A: Given an equation

Q: Calculate the derivative of the function below using the quotient rule. 28 y = Vx + 8x7 f(æ) = %3D…

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Q: 9. y = 3x – Vx

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Q: Calculate the derivative. z = 3x2 + 1 dz dx Ix = -2 ||

A: Given z=x3x2+1dzdx=ddx3x2+1-x*ddx(3x2+1)(3x2+1)2     =1(3x2+1)-x(3*ddx(x2)+ddx(1))(3x2+1)2

Q: Find the derivative using implicit deffirentiation of x^2 - 2xy +y^2 - 6x + 2y = 0

A: Given,          The derivative using implicit deffirentiation of x2-2xy+y2-6x+2y=0

Q: By using the "definition of the derivative" find 2 of y = v2x? dx

A:

Q: Find the derivative of by using the product rule. * y = (1+ væ³) (x-3 – 2x)

A: To find the derivative of y=1+x3x-3-2x3 using product rule. Solution: Product rule of derivative…

Q: Find the derivative using the long method 3 u = t2

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Q: Find the derivative of f (x) = V7– 4x. To enter va, type sqrt(a).

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Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: Use Quotient Rule to find the derivative. x² + x - 2 3x +1: dy 2x+1 A. dx 3x + 1 dy B.…

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Q: Find the indicated derivative. dz x2 for z = x2 - dx 1- x - 5x2

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Q: Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

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Q: Find the derivative of the function. y = -5e- - 4x2 dy dx

A: Solve for the derivative

Q: If f(x,y) is a real valued function of two variables then what is the second derivative of f?

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Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: Find the derivative of f(x) = ln v4 – x2 %3D

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Q: What is the derivative of y = etan-1 2x 2

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Q: Calculate the derivative of the function y=x2−x−1x without using the quotient rule.

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Q: find the derivative of the fuction f(x)= 5sinx/3x+cosx

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Q: /1 – ť dt dx cos X

A: This is a basic calculus question

Q: b) y = cosh(2Vx+1)

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Q: calculate the derivative with respect to x. 3y3 + x2 = 5

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Q: Use three-point midpoint formula to evaluate the first derivative of y = sin(x) at x = using a value…

A: To find- Use three-point midpoint formula to evaluate the first derivative of y = sinx at x = π2…

Q: 2 Use the definition of derivative to find the equation of line tangent to f(x) = 2 through x = 3.

A: