Show that Inx dx = -/Zn². x3/4(1+ x)

Q: Find dy by implicit diffe dx rentiation

A:

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx =…

Q: Find dy/dx by implicit differentiation.

A: To find: The derivative of x3y-xy3=4. Concept used: Chain rule of derivative: fgx'=f'gx·fgx Product…

Q: 3 dx|

A:

Q: Find the implicit deriviate (dy/dx) of (2x+3y)1/3=x2

A:

Q: What is dy/dx of 1/2e^2x

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Q: In(x) 1. Evaluate -dx if possible. If not possible, explain why.

A: As we know that the integration by parts:- ∫udv=uv-∫vdu

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

A:

Q: Find the derivative of the function. y= -6x In (5x + 8) dy dx

A:

Q: dy Find by implicit differentiation dx хЗу — ху3 — а3Ьз

A: Given:- x3 y -xy3 =a3 b3  To find:- dydx of given implicit function

Q: Find dy/dx at x=0 if y= Cosu and y--3x

A:

Q: 2). 3rin y l dy dx [ 5 X In Xナ3

A:

Q: 1 (In x+1)x dy dx

A: Given integral is evaluated as follows

Q: Estimate ln(0.9) using a linear approximation

A: Given:ln(0.9)

Q: 28. Differentiate implicitly to find dy/dx if x + x/y = 7.

A: Given, x3+x/y=7 we can also write as yx3+x=7y,  or y=x7-x3 derivate both side w.r.t x…

Q: Find the derivative of the function. rcos(x) y = In(1+2t)dt sin(x)

A: Applying Leibniz rule

Q: Find dx at x--3 if y-5x-2 and Do NOT Round.

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Q: 10. S(2x – 3) dx e 2x2 - ебх

A:

Q: ind dy/dx if y=8x-3/24x^5

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Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: Find the anti-derivative of: S(3x* – 6x)° (2x³ – 1)dx

A:

Q: Find dy/dx if y= ln(6x2 + 5y2). dy/dx=?

A: dy/dx = 12x / (6x2 +5y2- 10y)

Q: sinh (:) dz dy dx

A:

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: Find dy/dx by implicit differentiation 7ysin(x2)=9xsin(y2)

A: Find dy/dx for the implicit function

Q: /4 - x2 the integral | dx, becomes

A: Given the integrationI=∫4−x2x2dx

Q: find dy dx 15 In 4+ xe) 6

A: dlnax+bdx = a.1ax+b.

Q: The derivative of: y =0( sin (In (0))) in (In (0))) + cos(ln (0)) is is:

A: Given function is rewriting in other variables as: y=x(sin(ln(x)))+cos(ln(x)) Product rule of…

Q: √2xy dy/dx =1, given y=1 when x=1

A:

Q: - ((x3 + x)sech(In x)) = dx EX)-

A: To find  ddx(x3+x)(sech(ln x) We use product rule  d(uv)=udv+vdu Let  u=x3+x,     v=sech(ln…

Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

A:

Q: Compute dy/dx for the function. 5) y = In sinh 6x

A: topic- derivative of a function

Q: find dy/dx by implicit differentiation ex+2y = 1

A: Given Function is ex+2y=1

Q: Find dy/dx if 5x1/2 + 6y1/2 =15. dy/dx=?

A: We have to find dydx for 5x12+6y12=15.

Q: Differentiate implicitly to find dz if xz + In(xy) + = 10.

A: Given an equation We have to apply the implicit differention to the equation

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: find dy/dx of x^5y-xy^5=1

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Q: Differentiate the following function.   y=ln(x+1)+ln7 dy/dx=?

A:

Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: Find the derivative of y(x) = In (7(In(x))* ). %3D (Use symbolic notation and fractions where…

A: Topic = Derivative

Q: Find oy for dx2

A:

Q: How would I Find dy/dx implicitly 5xy + ln(x2y) = 9

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Q: Find dy. y = In(1 + x4) dx 4x3 dx x4. 4x3 dx x4 +: dx

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Q: find the antiderivative of dx/sqrt(ex-1)

A: To find : The antiderivative of dxex-1 Solution The antiderivative can be evaluated as, ∫dxex-1 Put…

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: Find dx if 2 siny dy 3 Log (y1)

A:

Q: 1. Find the derivative of g(x): Int dt 1+t Cos

A: This will solve by Leibnitz theorem

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: Find dy/dx by implicit differentiation. 5x^(3)+x^(2)y-xy^(3)=-8 dy/dx=?

A: We are given an implicit equation as

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.