Find the derivative of y with respect to x 18. y In -6)15 (x-9)30 _ dy dx (Type an expression.) II

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and…

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

A: Given that: 3x2 +2xy = -4y3. Find dy/dx. We know that derivative of xn is nxn-1.   Here i attached…

Q: Using Leibnitz theorem, the nth derivative of xy, is

A: We have to find nth derivative of xy1 using Leibnitz theorem.

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: find the derivative of y with respect to the appropriate variable. 1. y = cos-1 (x2)   2. y =…

A: Part 1. Given,

Q: 2) Find the derivative of f(x) = tan(1+ cos 3 x) %3D

A: As the function involved function in a function we can apply chain rule and find the derivative of…

Q: 3. (D - 3D? + 4)y = 40cos2x + 6

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Q: Find the derivative of the function y = cot^-1 x^2– cos^-1 (x + 1/x – 2). %3D

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Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec = sec-1 27) y = -sin-1 (5x2 + 2) 28)…

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Q: Find the derivative of the function. y = esin(5x) + sin(e5x) y' =

A: The solution are next step

Q: Find 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

Q: 1-x Find the derivative of y = arctan %3D 1+x

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Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

Q: 28. The derivative of In(x sin x) is 1. 1 + cotx а. b. C. d. tan x +x - +x sinx

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Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: Use centered difference approximations to estimate the first and second derivatives of y = ex at x =…

A: The central difference for first and second derivative is calculated respectively,

Q: ve of √sin(x)=y

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Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

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Q: Find the derivative of the function. Find dp/dq if p = In(q* + 5). dp dq II

A: Differenciate wrt q

Q: Find the derivative of the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

Q: Find the derivative of y with respect to x. y= 3x^3 sin^-1 x show all work

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Q: 115th derivative of f(w) = cosh w %3D 2

A: Finding the nth derivative.

Q: 1) Find the derivative of the function 2 + X y = arctan V 2 – x .Simplify where possible.

A: Answer and explanation is given below..

Q: Find the first derivative of: sin(x+y)+cos(x-y)=3

A: Given,           sinx+y+cosx+y=3 The objective is to find the first derivative.

Q: find the derivative of y with respect to the appropriatevariable. y = 6 sinh x/3

A: Given function: y=6sinhx3 Using the common differentiation of hyperbolic function: dsinhaxdx=acoshax

Q: Find the derivative of y with respect to the appropiate variable show all work Y= tan^-1 (ln x)

A: Given function is y=tan-1lnx. Given function can be written as tany=lnx. Differentiating the above…

Q: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

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Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

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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: Compute the derivative of the function y = 6 cos- (4x) at the point x = (Use symbolic notation and…

A: Solution ) y = 6 cos-14x Differentiate with respect to x  y' = 6 d/dx (cos-14x) [ we know that  d/dx…

Q: Find the derivative of the function. InV y = In 6 - X %3D y' = %3D

A: Explanation of the answer is as follows

Q: Find the derivative of y= sin cos (tan ax)

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Q: 2- Find the derivative of y with respect to the Exercises 1-3. y 1- 6 sinh || 1 y sinh (2x + 1) 2-…

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

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Q: 5. What is the value of the second-order derivative of the function with parametric expression x =…

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Q: 1) Find the 3rd derivative of y = sin(x) %3D

A: To find the 3rd derivative of y=sinxx. Solution: For finding third derivative, we need to find first…

Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Definition used -       Leibniz's rule for finding derivative -…

Q: find implicit derivative dy/dx of x2sin2(y)+2x2=y

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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: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM х 1. y= Arctan- 3-V9-x²

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the derivative of y with respect to > (x + 6) y = In V (x + 9)60 dy dx (Type an expression.)

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Q: How do I find the derivative of this problem?

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Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Given: y=∫x22x2lnt dt

Q: What is the 2nd derivative of y=cosh(x+y)?

A:

Q: The second derivative of an anti-derivative of a differentiable function F R-R is: O possibly…

A: The second derivative of an anti-derivative of a differentiable function f:R→R is

Q: Use Leibniz’s Rule to find the derivatives of the functions

A: Use Leibniz’s Rule to find the derivatives of the functions

Q: 2- Find the derivative of y with respect to the Exercises 1-3. y = 6sinh ; 1- = - sinh (2x + 1) y =…

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Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.