B. Use the product and quotient rule to get the derivative of the following 4. Y= 2x-1/ x+2 5. f(x)= 3x-2/ 2x-1

Q: Find the derivative Of y=4e^-0.3t

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: Find the derivative of the function f(x) = 24x arccos(4x) – 6/1 – 16x? f'(x) =

A: To find the derivative of the function

Q: Use the quotient rule to find the derivative of the following.

A: We know that, the quotient rule is a method of finding the derivative of a function that is the…

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

A:

Q: Use the clerivative rules to tind the deriVative of y. y=(x² + y> x²? (x-1)s y= (4x-1)3 2x+)

A:

Q: 1. Use the definition of the derivative to find the derivative of the following functions. 1 (b)…

A: use definition of derivative to find the derivative of the following functions a) fx=x+2 it is known…

Q: Use the alternative form of the derivative to find the derivative at x=c ( if it exists). f(x) =…

A:

Q: calculate the derivative with respect to x. xey = 2xy + y3

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Q: Find the derivative of the function y = coth 8x2

A:

Q: Find the derivative of the function f(x)=(x2+1)^3(3x+4)^4 at x=−1

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: The given problem is to find the first derivative of the given function at x=0 with given h value by…

Q: Use the product rule to find the derivative of the following.

A: Calculate the derivative of the given expression using product rule d(u·v)dx=v·d(u)dx+u·d(v)dx…

Q: Find the derivative of y = (x - 1) 2× + 1 at x = 2.

A:

Q: Use the alternative form of the derivative to find the derivative at x=c (If it exists)…

A: Given function is fx=x3+3x2+9. We know that, f'x=limx→cfx-fcx-c Given c=-3 Therefore,…

Q: 2. For y = 6x*V4 + x, find y(2).

A:

Q: What is the derivative of y = √5x² + 3x + 2 where x = 1? O no correct answer O2.054 O 2.057 O2.056 O…

A: The given equation is y=5x2+3x+2 where x=1. Find the derivative of the given equation. Here we use…

Q: Let y=x+∣∣x2−8∣∣. Find the derivative of the function at x=3.

A: Given that y=x+x2-8.

Q: Use three-point midpoint formula to evaluate the first derivative of y = x – 4 at x of h = 5. O…

A: Find the first derivative of y=x3-4 at x=0 using the three-point midpoint formula with h=12.

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

A: Given Graph,

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A: Given information:

Q: Find the derivative of the following function. f(x) = eax+bx+1,

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: Q2: - Find the second derivative of the following function at x = 2 15 marks 1) y=+ V 2) y 3 (x +)…

A:

Q: Find the derivative of function defined as follows.

A: Derivative of the function can be found with the help of differentiation of the function.…

Q: Find the derivative of the following function. 3 8x y = In x y'=0

A:

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

A:

Q: Find the derivative of the function f(x) = 36x arccos(4x) + 9/1 – 16x? f'(x)

A: we will solve using product rule and chain rule of derivative

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

A: The derivative of a function fx at x=c is determined using the following alternative form of the…

Q: Use the alternative form of the derivative to find the derivative at x = c (if It exists). f(x) = x2…

A: Given f(x)=x2-2 c=5

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: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

A:

Q: Find the derivative of the function y=(x−1)(x−2)(x−3) at x=0.

A:

Q: Find the derivative of the followi (a) x = t2 + 5t + 4, y = 4t

A:

Q: 4) Find the following derivatives using derivative rules, not the definition. a) f(x) =x -3F+5

A:

Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

A: Given query is to find the derivative of the function.

Q: Q2: A) Find an equation of the line tangent to the function of x2 + (y- x)² = 9 at x = 1. dy if y =…

A: Derivative of function

Q: Use three-point midpoint formula to evaluate the first derivative of y = x2 + 4x 5 at a = 0 using a…

A: Given equation is y=x2+4x−5. We have to evaluate the first derivative of y at x=0 using a value of…

Q: Q3: find the derivative of the following: 1. y = Inx + √√1-x² sech-1x

A: I have given the answer in the next step. Hope you understand that

Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: find the derivative of the given function y^4=4xy using implicit differentation

A:

Q: Use forward-difference formula to evaluate the first derivative of y = x² + 4x – 5 at a = 0 using a…

A: The forward difference formula is : f'(x)=f(x+h)-f(x)hWe have to find the first derivative of…

Q: Q2: A) Find an equation of the line tangent to the function of x² + (y-x)2 9 at x 1. dy x-x3 B)…

A: