Q: Let y = 2 ln x - 1/2x then the first derivative is....., the first order condition is..... and the…
A: Given: y=2 ln x-12x To Find: To determine the first order derivative.To determine the first order…
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: Differentiate y = /sin(x² + 3)cosx
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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) Using method of logarithmic differentiation, find the derivative of y = (2.x² + 1)(2=-3)
A: Given: Y = (2x2+1)(2x-3)
Q: Suppose we want to use logarithmic differentiation to calculate the derivative of y=x²x . As a first…
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Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0
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Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)
A: We will differentiate the function and simplify. The detailed solution is as follows below:
Q: If a derivative of a function is constant, the function is: O First Degree Exponential O Logarithmic…
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Q: Ceka that passes through the Find and sketch an exponential equation of the form y = points (0, 8)…
A: Substitute the values of (x,y) in the function given and find out the equation.
Q: 5th derivative of y = log x^5 to the base 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: Find the anti-derivative: x2/3 dx. Upload Choose a File
A: Using simple integration method to solve the question. Attached below is the detailed solution.
Q: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*
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Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…
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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: Find the derivative: y = x [ln(x) - 1] O ln(x) - 1 о O x ln(x) O In(x) O 1 + In(x)
A: Given y=x[lnx-1]To find dydx:
Q: Nth Derivative Of x3 ln(x) Problem Based On Leibnitz Theorem
A: To Determine: find Nth derivative using Leibnitz theorem. Given: we have x3logx Explanation: we have…
Q: 18) Find the first derivative of y = 1 -sin² x - 4
A: The given function is: y=14sin2x
Q: 4. Describes the various ways in which integration and differentiation may be viewed as inverse…
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Q: Y sinh(1) (use logarithmic differentiation) 3 (sec x)²/2[/cot-¹x]
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Q: tan s) Differentiate f(x) = 5* log3 %3D csc 2x
A: Consider the function fx=5xlog3tan-1xcsc2x Here, the objective is to differentiate the function.
Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1
A: "Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Use the sign of the derivative to establish the inequaltiy ln(1 + x) > x − x2 2 , ∀x >0
A: SOLUTION-
Q: y = In (csc 2)
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Q: e3x _e-3x Y = e3x +e-3x]
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Q: This is determined by the largest derivative, or the highest level of differentiation, present in a…
A: The highest level of differentiation present in a differential equation is known as "order" of the…
Q: What are the formulas for differentiation and integration? How to apply those formulas?
A: See the attachment
Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…
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Q: Integrate ∫(ln(x))/x
A: We need to integrate the given logarithm function:
Q: Brd Derivative OF y=-Jin3x
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Q: What's the derivative of ln(ln(ln(lnx^3)))
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Q: 5. Use logarithmic differentiation to find the derivative of the function. (x2+1) tan2 x ソ= x3
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Q: Determine the first derivative of the ff. function y = 400(2)*+3 sin 3x
A: Given: y=4002x+3 sin 3x To Find: First derivative of the given function
Q: 1. 8rd Derivative of fC x) = 4 x³ - 8x5 1
A: We will use just the basic knowledge of differential calculus to answer this question step-wise.
Q: Find and sketch an exponential equation of the form y = Ce^kx that passes through the points (0,8)…
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Q: Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10)…
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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: Find the equation of the tangent line to the graph of f(x) = 4^(x/ln2) at the point where x is ln16.
A: We find dy/dx to find the slope at x.
Q: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1), (3,…
A: To Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),…
Q: What is something interesting about integrationa and derivatives? Why is it interesting?
A: Given What is something interesting about integration and derivatives? Why is it interesting?
Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 1)
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Q: The L'Hopital rule and The derivative of the exponential function. lim (ex + x³)*:
A: Use l hospital rule
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: 11) Find the first derivative of y = (ln x)*
A: We have to find the first derivative of given function.
Q: What is difference between the derivative of log(sin(x)) and the derivative of ln(sin(x))?
A: The difference between ln and log is the base of ln is e and the base of log is 10
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: First Derivative of: (tan3(2x)) / x1/5 + ln(7x+4)
A: (U/V)' = (VU' - UV')/V^2
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…
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- Consider the function f(x)=ln (1+x2). a. Find all the critical values of f(x)=ln (1+x2). Using the first derivative test, identify the intervals of increase and intervals of decreaseLet y = 2 ln x - 1/2x then the first derivative is....., the first order condition is..... and the value of x satisfying the FOC is...Find the linearization of the function k(x) = ln(x) when x= 1 and use it to estimate ln(1.1).
- At what value(s) of x does ln (1 - x2) = x - 1?Find and sketch an exponential equation of the form y = Ce^kx that passes through the points (0,8) and (3,4). Also calculate its derivative and indefinite integral.Isn't the ln function supposed to have absolute brackets? like ln|y-1| instead of ln(y-1)?