Given f'(x) = 2x – 6 is the derivative of f(x) = x² – 6x + ß , find a if f(x) is to be differentiable at x = 2. Hence, find the value of ß.

Q: Find the derivative of the following functions using the long method.(general process) Y=3+4x-x^2

A: This question is related to derivative. We will solve this problem by using basic defination of…

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 1. y Arctan- 3-V9-x2 2. y= 4 Arccos +…

A: 1.   From the given problem:   y=Arctanx3-9-x2   As we know:   d2ydx2=ddxdydx   So,…

Q: Find the 2nd derivative of y with respect to x : y=xe^2x

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. у 3 ; d'y/dx

A: Question 1,Given,            y=x2-3x3xTo find : d3ydx3

Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

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

A: Given : g(x) = ∫tanx3x211+t4dt

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (3te-t)

A: We expand the function using the properties of logarithm

Q: what is the second derivative of y(t)=e^-2t and y(t)=e^-3t

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Q: Calculate the 4th derivative of the function y=x2/x−1 at x=2.

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Q: Find the most general anti-derivative of f(x) = 9Vx +1+ cos x.

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Q: Can you help me with this problem step by step?

A: The given equation,

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: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

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Q: In(x), Sn (4t + et) dt. Find the derivative of F(x). 3.

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Q: Determine the second derivative of f (x) = x²e* at x = -2 with a step-size of h=0.50 using Central…

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

Q: Find the derivative of y with respect to X. y = tan 1 5x 105x(1 + 5x) 2(1 + 5x/5x J1- 5x 1+ 5x

A: It is derivative.

Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information.

Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

Q: 1) Find the second derivative of f(x)= 24\x . (6) 2) If y = cos x, what is y (x)?

A: To find the derivatives of the given functions.

Q: What is the derivative of: y ln x − x ln y = 1

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: What is the value of the first order derivative of the closed function given as…

A:

Q: Find the derivative of the following functions using the long method.(general process) x=2y/y-1

A: Here I explained how to find dx/dy.

Q: 4. Compute the second derivative with respect to x of 3x³ + 8 y : at x = 1.

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Q: Use the chain rule and product rule to find the derivative of f (x) = e" (sin(x)² + x).

A: Given Data: Function: ex(sin(x)2+x)   The chain rule of the derivative is, ddxfgx=fgxg'x ......1…

Q: (b) Use implicit differentiation by partial derivative to solve for dx of the function 5x + xy 4y.

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Q: Find the derivative of the function y, below. y = 2x(ln x + ln 5) – 9x + v2 dy dz ||

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Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = 1/ln 3x

A: Given:

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

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

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Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

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

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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: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

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Q: Differentiate the functions: 1. y = 3x – Vx 2. y = 2 – 3x – 3. Given the function f(x) = x³ – 5x +…

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Q: 1 erivative of x²+2

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5…

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Q: Find the nth derivative of the function y=xlnx at x=1.

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Q: Find the derivative of the function y, below. y = 2x(ln x + In 7) – 2x + V2 dy da

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Q: Find the derivative of f (x) =arcoth (e³" ).

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Q: Consider the function f(x) = x³ Q 2: Calculate its first derivative at point x = 3 numerically with…

A: We have given , f(x) = x3

Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln 3x + x

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Q: Suppose ln (x + 2y) = x4.Use implicit differentiation to find the derivative of y with respect to x.…

A: Differentiate the given function implicitly as follows.

Q: Find the derivative of y with respect to x. Y=(x^2 ln x)^4

A: