Compute dx using the -1 (a) Trapezoidal rule (b) Trapezoidal rule with end corrections using the first derivative (c) Trapezoidal rule with end corrections using the first derivative and third derivatives (d) Gauss-Legendre quadrature

Q: 6. Use parametric differentiation to find if x= 212 +2, y=t* -7 dx Solution:

A:

Q: dy using implicit differentiation. dx Find

A: We have to find dydx using implicit differentiationcos(xy)=y3x4

Q: calculate the required derivative using the chain rule. -1 Z=tan tan () » yorsinə u =Y Cose %3D az.?…

A: We use chain rule and quotient rule

Q: y3D(i+sinx)(I-sinl)!

A:

Q: Find the anti-derivatives, using ONLY basic rules + 3* ) dx

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: Find the derivative of y 16 In (In(6x)). (Use symbolic notation and fractions where needed.) dy dx…

A:

Q: Calculate the partial derivative using implicit differentiation of ey + sin (9xz) + 4y = 0. (Use…

A: Use the following: 1.(ef(y))'=ef(y)f'(y)2.∂y∂y=13.(sin f(y))'=cos f(y)f'(y)

Q: 4. Find an equation of the tangent line to the curve, f(x) definition of the derivative. (Don't use…

A: Given problem:- Find an equation of the tangent line to the curve, f(x) = 1/(x2 + 1) by using the…

Q: Use the Power Rule to compute the derivative: %3D lx=7

A:

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e". %3D Equation:

A: To find the equation of the tangent line to the graph of: y=f(x)=ln(-x) at x=x0=-e4 The equation of…

Q: Discuss the relationship between the derivative dy/dx and (Lim) with drawing if it is required ?

A: See the attachment

Q: Compute the derivative of (arctan(x))^e^x

A:

Q: Find the indicated nth derivative of the following: 1 7. 2nd derivative of y = xArcsinx + v1 – x²…

A: Find derivative using product rule and composition of functions rule

Q: Vz²+1 ev° dy In a

A:

Q: X+ Jenk %3D

A: Here is the solution

Q: Find the anti-derivative: x2/3 dx. Upload Choose a File

A: Using simple integration method to solve the question.    Attached below is the detailed solution.

Q: Xyz. %3D Use implicit differentiation to find az/ar

A: The given function is ez=xyz.

Q: b) Trapezoidal rule with end corrections using the first derivative

A: The formula for the trapezoidal rule with end correction is in the integral with upper limit is a…

Q: Find the derivative. %3D cos~/tdt

A:

Q: use the general power rule or the shifting and scaling rule to compute the derivative  Y= cos4(ϴ+6)

A:

Q: 1. у %3D 4x? — Зх — 2.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: Discuss the relationsh ip between the derivative dy/dx and(lim) with drawing if it is required

A: See the attachment

Q: Compute the derivative using derivative rules. y = (cos 6x + sinx 2)1/2

A: y=(cos 6x+sinx2)12

Q: Calculate the derivative. y = (In (cosh(x)))° (Use symbolic notation and fractions where needed.) dy…

A:

Q: Compute . dx using the (a) Trapezoidal rule (b) Trapezoidal rule with end corrections using the…

A: The given integral is

Q: Find first and 2nd derivative guncic 2 tan2x 3.

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

Q: Find the derivative of y(x) = In (8(In(x))'). (Use symbolic notation and fractions where needed.) dy…

A:

Q: (c) Trapezoidal rule with end corrections using the first derivative and third derivatives

A: The given integral is ∫abf(x)dx=∫-11e-x2dx So, a=-1, b=1, f(x)=e-x2 c) We have to find the…

Q: Find the partial derivative. z = sin (6

A: We have to find

Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :

Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule

Q: Calculate the derivative d In (t)dt dx Ja4 using Part 2 of the Fundamental Theorem of Calculus.…

A:

Q: Calculate the derivative of y = cos (11x"). %3D (Use symbolic notation and fractions where needed.)…

A:

Q: Compute e* dr using the 6. (a) Trapezoidal rule (b) Trapezoidal rule with end corrections using the…

A: From the given information. The objective is to compute the value of ∫-11e-x2dx using Gauss-Legendre…

Q: 1. y= ArctanB %3D 3-V9-x2

A:

Q: 2. tanh-'x + lny1 – x²

A: We have to find derivative

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- Vx²+4

A:

Q: Verify the statement by showing that the derivative of the right side is equal to the integrand on…

A: NOTE: Refresh your page if you can't see any equations. . on the right-hand side, we have

Q: Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your…

A: The fifth derivative of the given function can be found by differentiating the given function five…

Q: Using the đết of derivative, fin rivative of f(x) = x² + 2x + 2.

A:

Q: Define the funetion sle) - and (a) Find the function's fourth derivative at r

A:

Q: Compute the derivative of y= arctan(arcsin x)

A: To Determine:  Derivative of given function:

Q: (In iny

A: To find the derivative of the given function- lny=lnxylny Here we will use the following formulas-…

Q: Find the derivative dy/dx of the Archimedean spiral.

A:

Q: 3. Write equation of the tangent line to the graph of the function f(x) = ecosx at one of the values…

A:

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.