Find the derivative of the function. (Simplify your answer completely.) f(x) = 2(In x)9/2 %3D f'(x) =

Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: Find the 2nd derivative of y with respect to x : y=xe^2x

A:

Q: y' +y = x*

A: Given: y3+y=x4

Q: Find the derivative of the function y = 8 cos(2x)

A:

Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

Q: Find the derivative of the following function. 3x f(x) = e X+5 3x dx -*+5

A:

Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

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Q: Find the derivative of the function y = √(e2x + e−2x)

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Q: Evaluate the derivative of the given function for the given value of x. Y = 2x-3 / 4x+5   x = 1…

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Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. y = e-2x sin x

A: The derivative of the product of two functions f(x) and g(x) can be determined using the product…

Q: Find the derivative of the function

A:

Q: Find the derivative of the function. y = (ln x)4

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Q: Find the derivative of the function. y = cos(a4 + x4) y'(x) =

A: The given function is y = cos(a4 + x4)

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

Q: Find the derivative of the function

A: The derivative of any function y=f(x),containing the variable x is defined as the rate with which…

Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: d. y = ار نے

A:

Q: What is the derivative of y = e2 +1, with respect to x?

A: Formula used

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: find the derivative of y=√e^x +1

A: The given function is

Q: Find the derivative of the function.

A: Given function is y=2ex+e-x Chain rule of differentiation states that: ddxfgx=f'gx g'x…

Q: Find the derivative of the given function. y = x² sin 'x+x cos 4x

A: For     y=fx gx    dydx=fx ddxgx+gxddxfx   This is the multiplication rule of derivative .

Q: Ө+5 y = Өcos 0

A:

Q: 2. Find the derivative of (x + 1) /x. 3. Given the equation: y = (eln )?, find y'.

A:

Q: Find the derivative of the function. 5. x + 2 y = e y' =

A: The given function,     y=ex7+25

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function y = e2x tan 2x

A:

Q: Can you help me step by step with this problem?

A: Obtain the derivative of the given function as follows.

Q: 2. Find the derivative. a. y = sin x

A:

Q: Find the derivative of the function. f(x) = ln(x − 1)

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Q: f(x) = e*

A:

Q: Find the derivative of the function. f(0) = 3 ln(6)Pe

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Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

Q: g. y = x e 2x h. y = 4sin 2x

A:

Q: Find the derivative of the given function. 2 y = x sin x+x cos -3 dx

A:

Q: The derivative of the function y = e¯- is

A: Finding the derivative of the following function:

Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the derivative of y with respect to x for y = sinh - 1 ' (11/9x).

A: From the given problem:   y=sinh-1119x...(1)   Now simply write as: 119x=11· 3x=33x   Substitute…

Q: Find the derivative of the following function. y = e-* sin x

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Q: Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Find the derivative of the function. 9 y =- Vx + 1

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Q: Find the derivative of the function

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Q: Find the derivative of the function. y = a 3 + cos 3 x)

A: Given: y=a3+cos3x

Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

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Q: Find the derivative of the function. y = log |5- 2x dy dx

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Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

A:

Q: Find the derivative of the function f(x) below. f(x)=ln(5−e^(−4x)) f′(x)=

A: Explanation: Given that, f(x)=ln(5-e-4x) Differentiate both sides with respect to x.…

Q: e2x %3D e2a + 1

A:

Q: Find the derivative of the function. h(x) = ex + 5

A: First we will differentiate exponential part then we eill differentiate algebraic part