The functionf(x) is Find the first derivative in fa Set up a number line with t increasing, decreasing, and h line.

Q: Find the derivative of f(x) = 2x/√x+1 if f'(2)

A: Given: fx=2xx+1 Formula Used: fg'=g.f'-f.g'g2

Q: Solve for the derivative of the function using chain rule. 4. f(x)= (x3+4)5/ 3x4-2

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Q: Find the derivative of the function g(x) = sech2 3x

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Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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Q: Find the derivative of the function. f(x) = (9x2 – x) In(x) f'(x) =

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Q: Find the higher-order derivative. f"(x) =4/x - f(5)(x) =

A: Just I have used the rule of derivative and then find the required derivative of the given function.…

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: A Find the derivative using the three-step rule. 1. y = 11-9x

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Q: Find the second derivative for the functions defined as follows ƒ(x) = (x2 - 1)2

A: Given function: fx=x2-12 fx=x4-2x2+1 Differentiate the equation w.r.t "x"…

Q: Find the derivative of the function:  f(x)=x^2lnx

A: consider the given function:

Q: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: 2. f(x) = x2– 5x + 6 at x 2 --

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Q: find the derivative of the function F(x)=4(x^3-x)^4

A: According to the given information, it is required to find the derivative of the given function.

Q: Find the derivative of f(x) = - 2 * root(4, x ^ 5) + 7/(x ^ 6)

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Q: 3) Find the derivative f(x) = xe-*In(x³) %3D

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Q: 1 Find the function whose derivative is (x+1)-

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Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: Where does the derivative of g(x)=(x^2)/((x^2)+3) = 0 or is undefined?

A: Given function, gx=x2x2+3

Q: Find the derivative of the function g(x)=x3∫x2tdt.

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Q: Find the derivative using the first principle  F(x)= (x-1)(x-2)

A: Given F(x)=(x-1)(x-2) To find the derivative using the first principle From the first principle, we…

Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: Find the derivative of f(x)=2/3x

A: Given is fx=23x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the given…

Q: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 5x +x…

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Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: Let f(x)=9−(4x^2+3x). Then according to the definition of derivative

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Q: Compute the derivative f(x)= cubed root of x + 3/x5

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

Q: 2. f(x) = V-3x+ – 2

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Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Find the first derivative of f (x) = 2* 2*

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Q: o f(x) = 4~/x+3

A: by using definition of a derivative.

Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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Q: If f(x)=4sinx-x^3, what is the second derivative of f?

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Q: Find the derivative of the function. f(x) = 4x In 4x f'(x)=

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Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

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Q: Find the equation of the line tangent to the graph of the function f(x)=x-2x^2 at x=1 use the…

A: The equation of the curve is: f(x)=x-2x2

Q: Find the derivztive of the function

A: Topic :- derivative

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: 5+x f(x) = 3—х

A: Solve the following

Q: Find the derivative of the function. 2 5x - x f(x) = x² - 4 f'(x) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: Find Derivative f'(x): f(x)= 5e²x - 40e(-0.1x) + 11 + In(4x)

A: Given f(x) = 5e2x - 40e(-0.1x) + 11 + ln(4x)

Q: X = t-1 2-1

A: Given that x=tt-1,y=t2t2-1. Compute the first derivative.…

Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: 1. Use the definition of the derivative to find the derivative of f(x)- V-x-2

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Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) > 0  from graph  Function is increasing…

Q: Solve the derivative of f(x)=−1/√5 x.

A: we have to find the derivative. f(x)=-15x