1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x) = In (4x4) %3D c. f(x) = 4 x6

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: Find the derivative of the function.

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

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Q: Find the derivative of the following function. y (In ]x + 4|)7 dy

A: Differentiate w.r.t to x

Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: 4) Calculate the first derivative of the following functions: 1. f(x) = In 2x2+1° 2. f(x) =…

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Q: 1. Use the definition of the derivative to find the derivative of the following functions. 1 (b)…

A: use definition of derivative to find the derivative of the following functions a) fx=x+2 it is known…

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: 2. Calculate the derivative of the following. y = (x*- 3x2+5x) 3 y = tan (x2 + 5x - 2) А. B. (4x +…

A: Given  A. y=(x4-3x2+5x)3 B. y=tan2(x2+5x-2)C. y=(4x+3)3(x-2)2D. y=x2ex2-1

Q: Find the requested higher-order derivative for the given function. d3y of y = x" - sec(x) dx3

A: Given that y=x11-secx and we have to find third order derivative of y with respect to 'x' that is…

Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

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

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Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1. dy 3) Using…

A: A).Givenx2+(y-x)2=9(y-x)2=9-x2y-x=±9-x2y=±9-x2+x -----{1}Taking positive of equation {1}y=9-x2+xNow…

Q: Find the derivative of the function y = In(8 – e-a f'(x) =

A: We have to find derivative

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

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Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

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Q: Find the first derivative of the following implicit function. x3 + y3 + 3 xy2 = 8

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Q: Find the derivative of the following function. 3 8x y = In x y'=0

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Q: Calculate the derivative of the following function. 4x y = e **(4x- 1)9

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Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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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: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: Find the derivative of the function g(x) = 300(4 – e-0.1x)

A: The solution is given as follows

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

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Q: 1. Find the first derivative of the following functions: y = f(x) = -(2x + x³)-2 + 4x (2x+4)² (a)…

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Q: 11. Find the derivative of the following function. y=2-6e a y'=54r°e b. y' = -54x°e- c. y' = 6e d.…

A: Given function is

Q: 16. Find the derivative of the following function. 6x f(x) = 5e 7x f'(x) =

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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: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

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Q: Find the derivative of the following function. 8x e y= In 4x y'=

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Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

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

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Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Solve for the derivative of the following Exponential Differentiation. 1. y = 92x^2 + 3x +1 2. y =…

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Q: Find the derivative of the following functions. (x² + 5° e 2x a. y = In(-

A: Differentiation is given below

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: 9. The derivative of the graph x+y² D5 with respect to time is c-2y+ 20 C. a. y +x d. -y 2x +2y

A: Q 9 Given that: The graph: x2+y2=25

Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

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: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

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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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