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

Q: A second derivative Findd2y/dx2 if x2 + y2 = 1.

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Q: 3. Find derivative of the function y = x tan-(4x)

A: we have to find the derivative of y

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

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Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

Q: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: 4 1 Y(s) = 5s2

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Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

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Q: y = x*(1 – In x4)

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Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: 2) Find the derivative of the function f(x) = (x³ – tan(4x² – 2)* |

A: Given :            To find the derivative of the given function                f(x) = x3 -…

Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: 1 14) Use the definition of derivative to find dx 3- х.

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Q: 3. Find the derivative of y = csc" (sec x), 0<x< 2n.

A: Given ddx(arccsc(sec(x))Let sec(x)=uWe know that ddx(cosec-1…

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: Compute the derivative: x4 – 4 d - at x = 2 dx x2 – 5 - The derivative is:

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Q: 1. x² - 2xy + y² − 6x + 2 = 0

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Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: State the derivative rule for the exponential function ƒ(x) = bx.How does it differ from the…

A: Derivative rule for bx. The derivative of fx=bx is given by f'x=bx lnb.

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: 7. Find the nth derivative of y = 1//x.

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

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

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Q: Find the 4th derivative of x^10 evaluated at x=0. What would be the 100th derivative of x^2000 be at…

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Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: 1) Find the second derivative of f (x) = 24 . %3D

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Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: 4) Find the derivative of y = arctan(x² + 3)

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Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

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Q: Find the derivative of the function. g(x) = 2(3- Ex)

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Q: Find the derivative of the function. 9 y =- Vx + 1

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Q: Find the derivative of y =x°+x°. -3+5 Give your answer with positive exponents.

A: Given function :

Q: 2x Find the second order derivative of y = Tan 1-x

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Q: 9) Find the value of the derivative at the point x=2 if f (x) = xv2x – 7

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Q: c. Find second derivative implicitly for y + 2Re *y = 3R.

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Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: Find the second derivative of y=x-1 at x=2

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Q: (2+x)2, how do I find the derivative?

A: The given function is  y = f(x) = (2 +x)2