xeʼln (2x+1)-2er en(2x+2)=0

Q: Determine the first derivative of the ff. function y = tan(ln(cot(x² + 3 ln 3x)))

A: Chain rule of differentiation: f(g(x))'=f'(g(x))g'(x) Formulae used: ddxtanx=sec2xddxlnx =1xddxcot…

Q: find the derivative:  y = ln (8x^3 – 2x) – 2x

A: According to the chain rule of differentiation if fx and gx is the differentiable function then,…

Q: Find the derivative of Log(2z³). 2/z 2/2? 1/2? 3/z

A: Answer

Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: What are the formulas for differentiation and integration?

A: Differentiation formula: There are many formula available in differentiation. few of them listed…

Q: Differentiate  y=sin(ln(5x2-2x))

A:

Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)

A: We will differentiate the function and simplify.   The detailed solution is as follows below:

Q: What is the derivative of 2(x)ln(x)+x

A:

Q: x³tanh² (x*) sech²(x*) dx

A:

Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

A:

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: 2. Use logarithmic differentiation to find first derivative of y (sinx)r

A: Formula used: ddx[u(x)v(x)]= u(x)v(x).ddx[ln(u(x)).v(x)] ddx(u.v) =dudx.v + udvdx

Q: Show that (x ln(x)) ‘ = 1 + ln(x) using the Product Rule for Differentiation.

A:

Q: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*

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Q: 2 cosh(2x) – sinh(2x) = 2

A:

Q: find derivative y=square root of (1+ x times e^-2x)

A:

Q: 4. Describes the various ways in which integration and differentiation may be viewed as inverse…

A:

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

A: on differentiation we get

Q: Find the derivative: ln ((x+1)/(2x-1))^(2)

A: First simplify the expression using properties of lograthim than take derivative.

Q: What are the formulas for differentiation and integration? How are they applied?

A: To write: Formulas for differentiation and integration.

Q: Use the sign of the derivative to establish the inequaltiy ln(1 + x) > x − x2 2 , ∀x >0

A: SOLUTION-

Q: y = In (csc 2)

A:

Q: Find the first derivative of = (ln x)* 4 y

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

Q: Brd Derivative OF y=-Jin3x

A:

Q: What's the derivative of ln(ln(ln(lnx^3)))

A:

Q: How do you use implicit differentiation to solve:  tanxy=x+y   at point (0,0)

A: The given expression is,

Q: Find and sketch an exponential equation of the form y = Ce^kx that passes through the points (0,8)…

A:

Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10)…

A:

Q: How to solve for the second derivative?

A: The objective is to solve for the second derivative. Consider a function fx=3x4

Q: Verify by differentiation that  ∫ ln x dx = x ln x - x + C.

A: The given statement is ∫ln x dx=xln x-x+C. Verify this as follows.

Q: What is the derivative of (ln(3x))/x^6?

A: Let y = (ln(3x))/x6.The derivative of y is with respect to x as follows.

Q: Šolve. In(-x + 1) – In(3x + 5) = ln(-6x + 1)

A: To solveln-x+1-ln3x+5=ln-6x+1

Q: Find the length of the curve defined by 2 y = 5 ln 5 from x = 7 to x = 9.

A:

Q: Find the second derivative of 2x^2 ln (1/x^2)

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Q: Find the first derivative y= ln(3x)

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Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: Find the derivative of: ln(sin-1x)

A: We need to find the derivative of ln(sin-1x).

Q: Discuss how the processes of integration and differentiation can be considered as “inverses” of each…

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Q: Find y'' by implicit differentiation. 5x2 + y2 = 4

A: Implicit differentiation

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: Given query is to give an example of exponential and logarithmic differentiation.

Q: Find the derivative of 5-4x+x²+ln(7)

A: By using differentiation formula, we find the derivative of given function.

Q: 3 sin-xe 5%

A:

Q: How can you apply integral and differential calculus in real life situations?

A:

Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: 3. Use logarithmic differentiation to find the derivative of the function. (2x – 1) Vx+1 y =

A: giveny=(2x2-1)5x+13taking log on both sidelogy=log(2x2-1)5x+13using log…

Q: Solve the first and second derivative of y = cosh2x+ sinhx

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Q: In( cosh(3x) - sinh(3x) )=

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.