Vx-5 a) Find the derivatives of the given function f(x) = ln- %3D 1-x

Q: How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

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Q: Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

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Q: Question The derivative of the function y e(tanx-2 vx) 1s:

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Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: 9. [Essay] Find the derivative of y = 3x + 1). За* (x? — Зх + 1). Зах

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Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

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Q: tind the first derivative of the fanction i2 () =メ ニフ(x-1)

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Q: 3x-7 y: y%3D arctan 6. 6(x²+3) Find the derivative of the function

A: Given, y=tan-1x6+3x-76x2+3 Differentiating both the sides, we get…

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: Find the derivative of y = 3x ln (x)? A. Y = 3(1+ ln (x)) B. Y = 3 + In (x) C. y = 1+3 ln (x) D. Y =…

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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: 5. Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.…

A: Given eq. is xcosy=1Now differentiate wrt x on both sides:ddx(x*cosy)=ddx(1)We know that…

Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

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Q: Find dy/dx by implicit differentiation. x2y3 - 12xy2 = 11

A: Implicit Differentiation Method: 1. By taking d/dx on both sides of equation. 2. Then solve For y'.

Q: i) Find the derivative of g(x)= 4x2 ii) If y³+2y-4x=5 find dy/dx cosx

A: Given: (i) g(x)=cos(x)4x2(ii) y3+2y-4x=5

Q: y = In[sec(ln x)] 2. Differentiate the function:

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Q: Find the derivative of the function. 8 +- +/5 y= 4. dx %3D

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

A: Obtain the derivative of the given function as follows.

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: Find the derivatives of: d/dx (ex-e-x/ex-e-x) And the derivatives of: f(x)=ln((2x+1)3/(3x-1)4)

A: the given expressions is: dex-e-xex-e-xdx the given function is: f(x)=ln2x+133x-14

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

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Q: Find the derivatives of the functions y = (1 + x2) etan-1 x

A: Product rule (uv)'=u'v+uv' ddxxn=n xn-1ddxex=exddxtan-1x=11+x2

Q: Find the derivative of the function.

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Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

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: 6. Find the derivative of function. a) y = (x - 1)ā + 2x2-4x+7 b) y = cos* 3x * arcsin 3x2 |3D 3 c)…

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Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: Find the equation of a curve if d²y 4 = dx² (2x - 1)² the curve passes through (5, 2 ln3), and the…

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Q: 17) Find the derivative of y = x? COs x - 2

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Q: 3x-4 1. Y= Arctan 4

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Q: Find the derivative of the function. y= -3(6x2 +8) -6 dy dx (Type an expression using x as the…

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

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Q: 5. y = (s* – s-2)*

A: We find out derivative with respect to s . using the formula derivative of sn=nsn-1. Follow 2nd…

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

Q: Find dy/dx by implicit differentiation at point (0,-2) if x^3-xy+y^2=4. O -2 -2/3 1/2 3/4

A: Implicit derivative at point

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 %3D dx b) EVALUATE THE DERIVATIVE FROM PART a AT…

A: Given: x4y3=-8

Q: Using logarithmic differentiation, Show that y (x)= xa2" e®has no stationary points other than x =…

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Q: Determine the derivative of y=tan(cos-'(4x)) -1 A y'= 4x2/1- 16x2 - 4x B y'= V1- 16x2 c) None of the…

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

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

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

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Q: Find the derivative of the function. 3 6. y3= 2 +/3 dy dx

A: The given function is y=9x3-2x2+3x+3.

Q: e2x 2. Find the derivative of y = - (x² + 1)°(1 (1+ sin x)5

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

A: Given: