4z +5 Consider the function f(x) Compute each of the following. Simplify your answer and use *- 2 exact values. 13 (-2)2 f'(z) = %3D = (2),.f

Q: Find the 1st and 2nd derivative of this function: x=(t-2)5/2  y=t3-5

A: We will differentiate the function twice to get the first and second derivatives as follows while…

Q: 2 a) For the function f(x) = X-3 , find f'(1) by using the definition of derivative.

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Q: 4x - 4 if x > 2 Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

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Q: Find the absolute extrema of the function f(x) = (x + 16) 1/3 on the interval[-5,2]. Find the second…

A: To find  The absolute extremum of the given function.

Q: If f'(x) = 3+ 4x and the curve f(x) passes through the point (1, 8) i) Find f(x) ii) Find the local…

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Q: Q3: Find the first derivative at x =2 for the funct 1.0 1.5 Y. 0.4057 0.

A: We have to find the first derivative at x=2.

Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

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Q: 3. y = 5x - sec (x) differentiate the given function

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the first derivative f' and the original function f. f"(x) = 42x, f'(0) = 8, ƒ(0) = 11 (Use…

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Q: Q:2. Use the first derivative test to find the intervals on which the function is f(x) = x4. which…

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Q: (2+3t2 3x2 dx 1+ x3 6. Find the derivative of the function F(t) = 2-3t2

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Q: Consider the following function. g(x) = x2 − 2x − 4 on [0, 6] Find the derivative of the function.…

A: The derivative of the xn is given by:…

Q: 4.x – 4 if x > 2 4. Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

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Q: Assume a function such that Y = (2x410)/(6x² + 5x). Obtain the first derivative. O f'(X) = (8x³ -…

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Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

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Q: Find the First derivative: Complete Solution for this:  1.) r= (3cot42θ-4)2/3

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Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

A: Topic:- function and it's Derivatives

Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: Q2) Derive the numerical differentiation formula 2fo - 5f-1+ 4f-2 - f-3 h2 f"(x) = Find the optimum…

A: According to the given information it is required to find the optimum step size that minimize the…

Q: 6. Find [ f(x)dx if f(x) = et -1, if -3<x<0 V9-x², if 0<x<3

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Q: Find the first and second derivatives of the functions w = 3z2e2z

A: Given:Assuming the given function is:

Q: Find the derivative: n[(x³ + 2) (x² + 3)]. Evaluate S dx. Зx8 — 2 2x*- x2 Evaluate dx.

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Q: Find the equation of the tangent line to the function f(x) = In(5x) at x = 2. (Use symbolic notation…

A: Given that, f(x)=ln5x To find the equation of tangent line to the function f(x)=ln(5x) at x=2.

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

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Q: у 3 2Таn(0.5х) — х II

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Q: Consider the function f(x) = (4-5x)7. Find the second derivative f" (1). O7(4 – 5z)® O-35 (4-5x)6…

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Q: 7–46 Find the derivative of the function. 8. F(x) = (1 + x + x²)9

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Q: Consider teu tunction: fcx) = -x+2x +4 Calculate f(x +h) for any constant h f(x +h) - f(x)

A: The given function is fx=-x3+2x+4. (a) Evaluate f(x + h) as  follows.…

Q: Find the first derivative of the function * 4 f (x) = Væ + 4

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Q: Find the inflection points of the function f(x) = x 2 ln x

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Q: 5х f(x) = 2) Find the first derivative given that J2x+3

A: Solved below...

Q: Find the derivative of the function ffor n = 1, 2, 3, and 4. sin x fx) = - (X), I n =4 Use the…

A: Solve for the derivative

Q: Find the first derivative f' and the original function f. "(x) = x' – 8x + 6, f'(0) = 5, f(0) = 8…

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Q: The derivative of the function f is defined by f'(x) = x? – 5x + 5 cos (3x? – 3x). If ƒ(-2) = –4,…

A: Given: f'x = gx = x2-5x+5cos3x2-3xf-2 = 4------------------------------Aim: To find absolute maximum…

Q: he tangent line to y= f(x) at (-7, -6) passes through the point (-9, -2). Compute the following.  a)…

A: GIVEN DATA : Equation y=fx                         Tangent of the y=fx at -7,-6 passes through the…

Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

A: Given query is to find the derivative of the function.

Q: Differentiate the function below y = ln ( ( etan x √(x2 +1) )  /  (x-3)5)

A: We first simplify the given function.  y=lnetanxx2+1(x-3)5y=ln(etanx)+lnx2+1-ln(x-3)5  [addition and…

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: Find the first derivative f' and the original function f. f"(x) = x – 14x + 4, f' (0) = 8, f(0) = 10…

A: Solve

Q: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

Q: 2-Find the instantaneous rare of change for the above function at X = 3

A: 2. Let fx=1x2, x0=3

Q: Find all possible functions with the given derivative. f'(x) = x* f(x) =O

A: To find out the function.

Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y…

Q: The functionf(x) is Find the first derivative in fa Set up a number line with t increasing,…

A: The given function is fx=3x5-5x4. Find the first derivative of the function by the power rule of…

Q: * The tangent line to y = f(x) at (-4, 10) passes through the point (-5,-10). Compute the following.…

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