(A) Find an equation of the tangent line to the graph of f(x)=(4x+1)sin(πx) at the point whose x-coordinate is 1/2. (B) Using logarithmic differentiation, find the derivative of f(x)=(e^(-3x) √(2x-5))/(6-5x)^4 .

Q: Determine the first derivative of the ff. function y = tan(ln(cot(x² + 3 ln 3x)))

A: Chain rule of differentiation: f(g(x))'=f'(g(x))g'(x) Formulae used: ddxtanx=sec2xddxlnx =1xddxcot…

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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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: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A: Given that  y=(sin9x)^(lnx) To find the derivative of y

Q: 1. (sec- dx using the implicit differentiation.

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Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: Find the derivative of sinh(x)tanh(x).

A: As per our guidelines I am solving only first problem please repost other question.  y = sinh(x).…

Q: Use logarithmic differentiation to find the derivative of the function. y = (cos(4x))* y'(x) =…

A: In this question we have to find differentiation by using logarithm.

Q: Find the derivative of function and simply it whenever possible y= ln(ln sec x)

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Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A: Take log then differentiate

Q: 2х- 3 3. У3 5x +1

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Q: find the derivative of the function by the Logarithmic differentiation method.   y=(cos(x))ln(x)

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Q: Show that the derivative of the function sinh -¹ x can also be obtained by letting y = sinh -¹ x and…

A: Soln:To find the derivative of sinh-1x

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Find derivative of function. y= sin square root of 1+x^2

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Q: Find the derivative using logarithmic differentiation if sin^-1 (2x). y = (tan x) where 0 < x < 1/2…

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Q: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

Q: 4. Find an equation of the tangent line to the graph of f(x) = ln(x ^2 + 4) at the point (2, ln(8))

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Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: Log Activity CALL l.y=log4 (3x2 -5x) In 9x4 2.y= 3.y= Inx3 X-5

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Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: 5. Use logarithmic differentiation to find the derivative of the function. (x2+1) tan2 x ソ= x3

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Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

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Q: 1. Use logarithmic differentiation to find first derivative of y = xsinx

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: What is the derivative of the function  x^8(ln(x)), and what can I substitute for x to make the…

A: We have to find derivative dy/dx and point where dy/dx =0y is given below:

Q: Use logarithmic differentiation to find the derivative of the function. y - (cos(4x))"

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Q: equation of the function f whose graph passes thro f'(x) = x/25 - x²

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Q: 19. Find the derivative of 16 = xy using implicit differentiation.

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Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: Find the equation of the tangent line to the curve given by f(x) = x2 ln x at the point  (1, 0)

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Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: Given query is to give an example of exponential and logarithmic differentiation.

Q: Find the derivative using logarithmic differentiation. x(x + 4) (5x + 1)(3x +7) (Express numbers in…

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Q: 4.x³ (log3 x)° b. y = (csc5 x) /sinh(2x – 8)

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: Applying natural logarithm on both sides, we get

Q: Find the derivative of f(x) = log(-6x* – 6x + 5) at the point x = 2. Provide your answer below:…

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Q: Find the derivative of the function. y=arctan(sqrt 1-x/1+x) Also, Would I be able to use…

A: Given :  y = arctan1-x1+x

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows

Q: find the equation of the tangent line to the graph of the function y = ln(x^2) at the point (3, 1).

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Q: Show that x + yx−1 = 1 and y = x − x2 define the same curve [except that (0, 0) is not a solution of…

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Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…

Q: Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent…

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