Calculate G'(4) to 3 significant figures where G(x) = (-2x – 2)°(3x² + 3x + 3)²

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

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: i. y= ) In (x+3

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Q: 2. Find the derivative of y = 2 1 1- x² + arcsin x 2

A: As per our guidelines, I can answer only one question and maximum three subparts of a question.…

Q: y = (4x– 1)³

A: Consider the given function: y=4x-13 To find the first derivative with the respect to x:…

Q: 5. y= 2arctan(vx)

A: We need to evaluate the derivative of the following function y = 2arctanx

Q: Estimate the instantaneous rate of change of P(x)=5/x+2 at the point x=2

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Q: find the function with the given derivative whosegraph passes through the point P. ƒ'(x) = 2x - 1,…

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Q: Estimate ln(0.9) using a linear approximation

A: Given:ln(0.9)

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the equilibria of the differential eq

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Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: Determine the first derivative of the ff. function y = 2 + arctan(3 sec 2x)

A: We have to find the first derivative of the function: y=2+tan-13 sec 2x We know the formula of…

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

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Q: y = sec (2 – 3x)

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Q: (b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

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Q: Find the derivative of: y? – 4x = 0 at point (4,4)

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Q: 8. Find the derivative of y = x arctan 2.x --In(1+4x). -- - 4.

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Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: y = In(tanh 2x)

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Q: Question 5 Find the derivative: y = (3x 2x) Va5 2x + 2 - - dy 27-14x5-30x2+36x-8 2Va5-2x+2 (3x-2)…

A: The given function is  y=(3x2-2x) sqrt(x5-2x+2).

Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: y = In (csc 2)

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Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: Find the derivative of the function.

A: Consider the given function as y=xtan-12x-14ln1+4x2

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

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Q: y = csch /sec(x³ + 2)

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Q: The second derivative of the function is y = arctan 2x

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Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: 3x y = .3 х +3x

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

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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: What is the value of the second derivative y" at the point (4,3)

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Q: Find the second derivative if y = sinh- (n + x') at x = 0

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Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec-1

A: Let, z=(2x+3)/5   We differentiate using the chain rule

Q: 2 Find the derivative of y = arctan(x´ + 3)

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

Q: 4 Find the first derivative of y = In X +

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Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: Find the derivative of the function

A: We have to find the derivatives of the function: y=x tan-12x-14ln1+4x2 If two functions are in…

Q: Find the derivative of y with respect to s. y= sec -1(9s5 + 5)

A: To find the derivative of  y=sec-1(9s⁵+5)

Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: Find the equation of the line tangent to the graph of y=(x^2−x)ln(7x) at x=2. Round to three…

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

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Q: 7) y=cos/2x+1

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Q: 3. Find the derivative of: y = csch¬(In (sech(sec()))).

A: Note:Two questions submitted simultaneously, kindly upload question 2 separately.

Q: Find a function with the given derivative whose graph passes through point P f'(x)=1/x+2, x is…

A: The derivative is given as

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

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Q: calculate the derivative y = (sinh−1(x2))3

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…