se the first principle of differentiation to find f'(x) for the function f (x)=

Q: Find the derivative of f(x) = 3x° cos(x). 8 CoS f'(x)

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

Q: Find the first and second derivative by using implicit differentiation  xy+8y2=4

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Q: Find the derivative of the function by using the rules of differentiation. 1 f(x) = f'(x) =

A: topic - derivative of a function

Q: Use the method of Differentiation from first principle to prove that the derivative of the square…

A: Let, y = xSquaring on both sides, we get;y2 = xDifferentiating on both sides, we get;2ydydx = 1dydx…

Q: By using first principle of differentiation find f'(y), if ƒ(y) = Му—N

A: Given: f(y)= My-N According to the first principle of differentiation, the derivative of a function…

Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

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Q: What is the derivative of f (x) = cosh(x) + sinh(x)?

A: Given that f(x)=cosh(x)+sinh(x) find the derivative of f(x)

Q: Find the derivative of ¤(x) at x = /3/2 where rsin-'(x) $(x) = eº tan 0 do. x2

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Q: Compute the derivative of y = ln ( – V1 – 2 cosh x (x° + 2) |

A: To compute the derivative of,  y=ln1-2 cosh x .x3+2x.x-1.

Q: Find the derivative of f(x) = 2(x² + 3x) cos(sin(x³)).

A: I have used product re and derived of composition of two function

Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

Q: Use the rules of differentiation to find the derivative of the function. y = - cos(0) 8 y' =

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Q: Calculate the derivative of the function y=(x6+2)x  ​(i) using the fact that bx=exlnb and​ (ii) by…

A: Given function is ,

Q: Find the derivative of the function by using the rules of differentiation. 4 f(x) 1 + 400 %3D f'(x)…

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Q: compute the derivative. f (x) = ln(ex − 4x)

A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…

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

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

Q: By using first principle of differentiation find f'(y), if ƒ(y) = /My – N

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Q: What are the formulas for differentiation and integration? How are they applied?

A: To write: Formulas for differentiation and integration.

Q: use logarithmic differentiation to find the derivativeof y with respect to the given independent…

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Q: Find the first derivative of: sin(x+y)+cos(x-y)=3

A: Given,           sinx+y+cosx+y=3 The objective is to find the first derivative.

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 second derivative by implicit differentiation of 8?2 + 16?2 = 144 at (1, 1)

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Q: Find the second derivative of the function.

A: Find the second derivative of the function.           f(x)=x sinx

Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: Compute the derivative. Use logarithmic differentiation where appropriate. 3)X d. 1+- dx 1+ dx

A: Differentiation is given below

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

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Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

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Q: FInd the derivative of f(x) =ln 1+ex/1-ex

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Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Compute the derivative. Use logarithmic differentiation where appropriate. 10 1+ dx 10 1+ dx 10 In…

A: Answer: ddx1+10xx = ln1+10x-10x+10 1+10xx

Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: Compute the derivative with respect to x using differentiation rules.  f(x) = (ex / 3 - x)8

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Q: 5. f(x)%3D + cos X

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Q: By using first principle of differentiation find f'(y), if fo) = My-N %3D

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Q: Find the 2nd derivative of the given function fCt) = t² Int

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Q: Find the value of the derivative of the function y=sinx/3 at x=2π.

A: Here given as Differentiate the above function with respect to x

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

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Q: f(x) = 3 sin 1 (x²)

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Q: Use high-accuracy differentiation formula O(h) to estimate the first derivative of f(x)=log.x.…

A: Consider the given function, fx=logx Here we need to estimate the first derivative of the given…

Q: What is the first derivative of f(æ)= ln(3z²+7z )? 5z

A: Given  f(x)=ln3x2+7x5x We know that derivative of ln(x)=1/x…

Q: 2) Use logarithmic differentiation to find the derivative (Vx + 3)(x – 7)5 f(x) : (x3 – 4) - -

A: Given function is fx=x+3x-75x3-4 Given function can be re-written as: y=x+3x-75x3-4 Taking logarithm…

Q: Find the derivative. f(x) = eX cosh(x) f'(x) =

A: First use relationship between hyperbolic function and exponential function convert coshx in…

Q: /1 – ť dt dx cos X

A: This is a basic calculus question

Q: Find the derivative. f(x) = tanh(2 + e4x) f '(x)

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Q: Find the derivative of the function by using the rules of differentiation. f(x) = 0.006x³ – 0.02x² +…

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Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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Q: 3. Use logarithmic differentiation to find the derivative of the function. (2x – 1) Vx+1 y =

A: giveny=(2x2-1)5x+13taking log on both sidelogy=log(2x2-1)5x+13using log…

Q: Find the derivative to by implicit differentiation Sinx +4 cos y=3

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Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu