x²+x+4 What is the first derivative of r(x) = log, x°cos x

Q: find the derivative of the log functions: y = ln(x√x2 – 6) f(x) = ln(2x/x+1)

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Q: 1+cscx 7. h(x)=- 1-cscx

A: Given the functionh(x)=1+cscx1−cscx

Q: 1) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)

A: Given: Y = (2x2+1)(2x-3)

Q: x3491x-42 y%3D 26. Use logarithmic differentiation to find the derivative of (x- 1)64

A: The given equation is y=x3491x-42x-164. Take log on both sides and expand. lny=lnx3491x-42x-164…

Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: 1 5 Find the derivative of y =x° + 3 Give your answer with positive exponents.

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Q: x-2 Find the 1st derivative of y= sin x+3

A: To find the first derivative of y=sinx-2x+3. Solution: Chain rule of differentiation states that:…

Q: (x+3)² (x+2)°(x+4)' Use logarithmic differentiation to find the derivative of y =

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Q: Find the first derivative of y = ( ex – e –x ) /  (ex  + e –x ) and y = ln [ x  +  √ (x2  + 1) ]…

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Q: e first derivative for the +1)(x +2) 2)

A: Find the first derivative. y=(x+1)(x+2)(x-1)(x-2)

Q: ln(x+(x2 −16)^(1/2)) Find the domain and the derivative of the function.

A: Given, function is

Q: first and second derivative of f(x)=x^2/(1+e^x)

A: To find first and second derivatives we will use product rule and quotient rule of derivatives. For…

Q: 1. a) Use Logarithmic differentiation to take derivative of (x3 + 1)4 sin? x y = f(x) =

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Q: A) Differentiate y = 4√x + 8 / x - 6 / 3√x +10  B) Find the second derivative of y = 4 √x + 8/x - 6…

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Q: 3) Use logarithmic differentiation to find the derivative of the function a) y = Vxe&(x? + 1)" Your…

A: We have to find derivative

Q: Find the derivative of the exponential function. y = e5x tan(5x)

A: given that  y =e5x  tan(5x)  So dy/dx=e5x d/dx(tan 5x)+tan (5x). d/dx(e5x)                 i.e…

Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: a) Use Logarithmic differentiation to take derivative of y = f(x) = (x)ª cos² x (x3+1)3

A: We use Logarithmic properties

Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

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Q: Find the derivative of the function. h(x) = log2(x2 + x)

A: Given function is : hx=log2x2+x To find the differentiation of a given function.

Q: (3x + 1)*(x – 4) - Use logarithmic differentiation to find the derivative of f(x) = (x2 + 1)° .…

A: topic - logarithmic differentiation

Q: 4. Use logarithmic differentiation to find the derivative of each function a) y = x?r-1 b) y = (cos…

A: A):  y=x2x-1Taking log on both sideslog(y)=(2x-1)log(x)differentiating both…

Q: (cos² z) /3x²+7 3. (3x+1)5/2x+5 3x2+7 roblem 2. Use logarithmic differentiation to find the…

A: Given:

Q: (x)=(2x +3) ² at x = 0. Find the second derivative of the function

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Q: Find the derivative of the function using the chain rule. y = log10(7x)

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Q: sin® x(3x + 1) (4хт — 5)°(2л + 3)10" Use logarithmic differentiation to find y' if y

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Q: |(x+ 1) |(x – 1) Find the derivative of k(x) = ln A. k'(x) = x2-1 -1 В. К(х) — (x²+1)

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Q: Find the derivative of the function. y = log10(9x)

A: Given,           The function is y=log109x .

Q: Find the derivative of the function. f(x) = ln   1 2x8

A: Given,         fx=ln12x8

Q: 5. Use logarithmic differentiation to find the derivative of the function. (x²+1)6 tan² x y = X3

A: Explanation of the answer is as follows

Q: Find the derivative of the following function 1. y= -3^(2x-4) 2. y= x log10 x

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Q: Find the second derivative

A: Given, f(x)=x3x-1

Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

Q: C) Find the derivative of y= (1+ x²)* D) Find the derivative of f(x) = log3 5x? + 1

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Q: x³sin?xcosx Find the second derivative of the function f (x) e-X(x-1)x

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Q: Calculate the derivative. x4 - 4 y = x² - 5 (Give an exact answer. Use symbolic notation and…

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Q: Find the derivative of the function. f(x) = ln(8x + 9)

A: Given, f(x) = ln(8x + 9)  We have to find the derivative of the function.

Q: Q/3: Use logarithmic differentiation to find the derivative of y with respect to the given…

A: .

Q: 1. Use logarithmic differentiation to find the derivative of the function. y = x4 cos(x) 2. Use…

A: Here we have to find the derivative of the given functions using logarithmic differenciation.

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log 6 7x² 5. y = - 5 log 7…

A: Use the chain rule of differentiation to derivate y. Chain rule is used which is as follows- (i)…

Q: x' Find the derivative of h(x) sin x 4x2+2

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Q: 3. Use logarithmic differentiation to find the derivative of y = x". (Your answer should be…

A: To differentiate the below equation using logarithmic differentiation. y=xx2

Q: Find the first derivative of y=3x^2-2√x

A: We have to find the derivative from the given function

Q: Find the second derivative. h(x) = x2 −  1 x2  h''(x) =

A: Given h(x) = (x^2-1)/x^2 Differentiating on both sides with respect to x h'(x) = d/dx(1-x^(-2)) =…

Q: ³ _ x + 2y x-2y find first derivative X = to

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

A: ddx(5x2x+3)=5.ddxx2x+3(uv)'=u'v-v'uv2=5.ddx(x).2x+3-x.ddx(2x+3)2x+32=5(2x+3-2.ddx(x)+ddx(3)x22x+32x+…

Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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Q: Find the derivative of y = log7 (2 -3x) .

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Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

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Q: Find the first derivative y = [ x1/3 (x-5)1/5]/ (3x+7)9      Use logarithmic differentiation

A: Given, y = [ x1/3 (x-5)1/5]/ (3x+7)9     -i) To find: 1st derivative by using logarithmic…