1. If y = x³ + x - 5 then what is the derivative of y with respect to x?

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: 5. Find the first and second derivatives of y if y is a function of r defined implicitly by x* + y*…

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Q: 2. Calculate the derivative of the following y= (*- 3 + Sx) B. Ytan (x+ Se-2) (4x + 3) Tx-2) A. C.…

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Q: Solve for the 4th derivative of function K K= x3Cos√x

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Q: 1. Find the derivative of each of the following functions using chain rule: y=3x* (x* -2) a)

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Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

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Q: - 3x Find the derivative of y with respect to x if y = e

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Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

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Q: when in a derivative problem is e^( ) =0 and when is not?

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Q: - 17x Find the derivative of y with respect to x if y = e 口

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Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+ 1)

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Q: Find the derivative of y with respect to x if y = (13x - 26x+26) e -8x y =D %3D

A: Explanation of the answer is as follows

Q: Find the first three derivatives of y = x(In x)³

A: given problem :y=xlnx3

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

A:

Q: what is the derivative to y= e^-1?

A: Given,

Q: Question 11 What is the derivative of y =V x3 -2x² +x -2,

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Q: tlnt b) y = et

A:

Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

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Q: 20. Find the derivative of the function. y = 9cos(2x) a. y'=-18sin(2x) b. y' =18sin(2x) c.…

A: Option (a) is the correct option. Differentiate y using the chain rule.…

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: y = e* (In x)² %3D

A: Here we want to find the first derivative of the given function. For finding the derivative we use…

Q: In 5 x+1 Find the derivative of y = logs ((*)) with respect to x-1 independent variable x.

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Q: In (xv/x² + 7). n (xVx2 %3D · Find the derivative of the function y = In

A: To find the derivative of the Given function, we have to apply chain rule and product rule.

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: - 5 then what is the derivative of y with respect to x?

A:

Q: Find the derivative of y with respect to x if y = (12x - 24x + 24) e - 3x. y' =D %3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Let y=x(lnx)^2. Find the value of x for which the second derivative y"(x), equals zero.

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Q: Obtain the derivative of the function y y = (e*1) (In(2cos(x² – 4x))

A: The given function is: y=e3x+1ln2cosx2-4x

Q: Find the derivative of the function.

A: First, we expand using properties of log

Q: In (1 + 2), What is the derivative of y .? e2z %3D

A:

Q: In (6x) Find the derivative of y with respect to x if y = sin (3e) dt.

A: the given function is: y=∫0ln(6x)sin3et dt we have to find the derivative of y with respect to x.…

Q: The derivative of the function y = x² In(x + 1) is:

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Q: Suppose h(x): . What is the correct result of the derivative of h with respect to x? 3x · In (5)…

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Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

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Q: 1. Find the derivative of the following f) y = (2x − 1) ( x³ − x) + √x[2(x³ − x) + (2x − 1)(3x² −…

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Q: (-- If y = then the derivative of y with respect to r is:

A: y=x-1x-1To find dydx

Q: Find the derivative of y = x"+1 + (n + 1)*

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Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find the first derivative of g(x) if g(x) = e²* In(2x) %3D

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Q: -7/2 = 8. Calculate the derivative of y with respect to , if x/2 + y dy dx

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Q: 3. If the derivatives of h with respect to U; for h=²u

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Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

Q: 3. Find the derivative of y = | (12 +1) dt.

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Q: Find the derivative of y with respect to x. 3. (x² + y²)² =ay²

A: The equation given to us is

Q: 2-х Find the derivative of y = Зx+1 -7 бх-5 6- А. (3х+1)2 В. (3x+1)2 7-6х С. (3x+1)2 D. (3x+1)2 Е.…

A: Proceed as shown below

Q: 1. Find the first derivative of the following. а. у%33x y = 3x² + 6 y = 2-1

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Q: Determine the value of the derivative function for Ax) = (x + x)(x- 2) at x = 2. %3D A 6 в О с 5 D1

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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.