dy (x² + 1)? if y = 2) Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using logarithmic properties

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A: We will use the result  If limx→af(x)g(x) = 00 , then limx→af(x)g(x) = limx→af'(x)g'(x)

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A: Topic:- derivatives

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A: We can solve the derivative of 'y' as below.

Q: = (5+ cx*)** y=(5+6x*) (tan(7x)° 312 hint log.differentiat use %3D

A: logab=bloga ddxtan2ax=a sec2 ax

Q: (x² + 1)? dy if y Find dx (x² – 1)³ a) without the aid of logarithmic properties b) using…

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A: As we know that ddxlnx=1x

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A: L'Hospital rule states that when the limit is of 0/0 form then differentiate the numerator and…

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A: To find the dy/dx of the given function.

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A: We have to find derivative of the given function

Q: Q1: Using natural log., the derivative of : z(r) = cosʻ(r)/1+r² ?

A: The objective is to use natural logarithm to find the derivative of  z(r) .

Q: (a) Find the derivative. = In(x) – In(x - 8) dy dx (b) Find the derivative. y = In X - 8 dy dx %3D

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A: We will solve the problem

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A: Estimate the logarithmic values of x and y. Tabulate the values of x, y, log10x and log10y.  x y…

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Q: Sind dx/dy if ys log Vitx? 14

A: Given: y=logx1+x2+logx1-x214. So,         dydx=ddxlogx1+x2+logx1-x214…

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Q: Find dy/dx for following: 1- Y= sec\x 2- Y= 2Vx X 3- Y= log2 8

A: We can make it easier for you.

Q: dx Express your answer in logarithmic form. x2 + ax

A: ∫dxx2+ax

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A: Our Aim is to calculate dydx for the function given below:-y=log3(x) -(i)

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A: Find dy/dx using logarithmic differentiation  Given y = x³√(1+x²)

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Q: dy Example 1: Solve x- +y= logx dx

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Q: Find dy dx given (х* + 3x — 1)° /1 – 3x³ y , by using property of logarithms.

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Q: 12 %3D 5. (i) By using the substitution u = 1+ cosh x, rcosh-12 tanh x dx, 1+ cosh x evaluate…

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