Estimate the derivative of the function f (x) = - – 3 at the point x = 3. 3 3 1/5 1/3

Q: Find the derivative of the function.

A: Given: To find: Derivative

Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

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

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

Q: Find the 4th-order derivative of the function y=xsinhx.

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Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

Q: Find the second order derivative of f(x) exsinxcos2x

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Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: Find the derivative of function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

Q: Find the nth-order derivative of the function y=x3sin2x.

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Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Find the derivative of the function. f(x) = In(x + 1) f'(x) =

A: To find the derivative of the function fx=lnx+1

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: find the derivative of f (x) at the designated value of x. f (x) = 1x at x = 1/16

A: Given: fx=1x To find the derivative  Differentiate the given function with respect to x we get,…

Q: Determine the derivative of f(x) =2x/x2+1 using the quotient rule and find the equation of the…

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Q: Find the derivative of f(x) = 1 at x = 3

A: The given function is: fx=1x Using the formula of derivative i.e., ddxxn=nxn-1

Q: X+3

A:

Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

Q: Find the derivative of the function f.

A:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

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: Find the derivative of the function f(x) = coth−1(x2)

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Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: Find the derivative of the function y=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

A:

Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

Q: Find the derivative of the function y=2√x−3sinx.

A: Given: fx=2x-3sinx for finding derivative of given function we use property given below…

Q: Find the derivative of the function. 4 y=デ

A:

Q: Estimate the derivative of f(x) = sinx atx = ~-

A: Consider the provided function, fx=sinx at x=π2 Find the derivative of the function. First, we…

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

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Q: 3/x +1 f(x) = X+2 at x = -1

A:

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: Find the derivative of the function f(x) = 1+ ex

A: First I have written the formula of quotient rule of derivative, just use the rule for given…

Q: find the derivative of f (x) at the designated value of x. f (x) = 1/x at x = 2/3

A: Given: f(x)=1x To find the derivative at x=23

Q: Find the derivative of the function. f(x) = arctan(3x)

A: We  can make it easier for you.

Q: Find the derivative of the function. y = arctan 1 + x 1 - X y' =

A:

Q: Find the derivative of the function. f(x) = ex - xe

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Q: Find the derivative of the function. 10 f(x) = + 6cos x Vx

A: Differentiate above equation with respect to x

Q: Find the derivative of the function. f(x) = 18 In(x) %3D

A: Derivative Question

Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: f (x) = 1 − 2x  point,  x = 2 To use quick approximation to estimate the derivative, f'(2).

Q: Calculate the derivative of f1 (x) = √1−2x by using the definition of the derivative as the limit of…

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Q: Find the derivative of the function.

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Q: Find the derivative of f(x)=sec(x)

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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 derivative of the function.

A:

Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

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Q: Calculate the derivative of the function y=x2−x−1x without using the quotient rule.

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Q: Find the derivative of the function. h(x) = x² arctan(8x)

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

A: