)Find the first derivative or f’(x) of the following functions using long method derivatives

Q: y = In (x* + 5)³

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Q: Compute the derivative of the function y = 5 sin-'(x) at the point x = (Use symbolic notation and…

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Q: Find the derivative of f (x) = -6 tan (x). Enclose arguments of functions in parentheses. For…

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Q: find the derivative of he functions fro cosco")

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Q: 5. Find the second derivative of * sin- (æ?)

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Q: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: 2. Use rules of differentiation to find the derivative of the function 5a° (x- +3) g(x) = x2 +1 Show…

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Q: We cannot find the derivative of composed functions. We can however, using some algebra, find the…

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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: 1. Find the first derivative by using the definition for f(x) = 3x² – 2x – 5, hence - find f'(-2)

A: Derivative of a function is ratio of difference in output and difference in input.

Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

Q: Find the derivatives of following fucntion (logx)tanx

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Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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Q: 11 In(x)sin (x²). Find the first derivative of g(x) (x),6

A: As we know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power law:…

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

A: y = (lnx)lnx Take log to the natural base e on both the sides to get,

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

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Q: Find the derivative of ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: Apply the different rules for differentiation in finding the first derivative of the following…

A: Given

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: 2. Sketch the graph of a tangent line of the function f(x) = at x = -1. And then find 1- x the…

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Q: Find the second derivative using implicit differentiation of the given xa + ya = aa

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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: Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the derivative of the trigonometric function. y = -csc(x) - sin(x)

A: Given:y=-cscx-sinxFormula:ddxcsc x=-cscx cotxddxsinx=cosx

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

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Q: Find the derivative of the function. h(x) = ln[(−6x + 3)(x + 3)]

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Q: 2. Determine the derivative of f(x) = sin-'(2x)

A: Topic = Derivative

Q: Find the second derivative using implicit differentiation of the given xì + yi = a

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Q: Find the derivative of the following function. X- y = 3 sin x -3 dx X- sin x =

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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: Find the derivative of the following functions and simply it whenever possible. 8. y = ln…

A: First simplify the given function then use chain rule of derivative.

Q: Find derivative of the f(x) = sin-1*- 1 x+1 function

A: To find the derivative of the function

Q: Find the derivative of f(x) = ln(2x^3 + x).

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Q: Find the derivative of the following functions and simply it whenever possible. 5. y = 4x ln 4x

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Q: Find the derivative of: ln(sin-1x)

A: We need to find the derivative of ln(sin-1x).

Q: 2. Find the derivative In (x+) y3=

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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: 11. Find the derivative of tan x by using the quotient rule.

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Q: function

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Q: (x² +2)S UI -人 S-X

A: →First of all, simplify the given expression using logarithmic property.              ln(ab) = ln(a)…

Q: Find the derivative of ?(?) = 5 sin(2?). using the chain rule

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

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Q: flx)= -e, 1-x2 1-e

A: To find The derivative of f(x).

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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