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Logarithmic Differentiation
Logarithmic Differentiation - When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Ta..
Logarithmic Differentiation
When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differentiating with respect to x, we get, ..
To find the logarithm of a Complex number
Let z= x + iy be a complex number. Let Z = r i q . This formula is useful for finding the logarithm of negative numbers als..
Introduction Exponential and Logarithmic Series
In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficients, the inequality 2 n - 1 n! for n N etc.In this chapt..
Use the laws of logarithms to rewrite log10 30x.
Use the laws of logarithms to rewrite log 10 30 x . => 30 + log 10 x or log 10 30 + log 10 x or 30 log 10 x or (log 10 30) + x..
Use the laws of logarithms to rewrite log2 7x28.
Use the laws of logarithms to rewrite log 2 7 x 28 . => 28log 2 7 + 28log 2 x or log 2 7 + 28log 2 x or 7log 2 28 + log 2 x or (log 2 7 + log 2 x ) + 28..
Use the laws of logarithms to rewrite loga 25x.
Use the laws of logarithms to rewrite log a 25 x . => 25 + log a x or log a 25 + log a x or log a (25 + x ) or 25log a x..
Use the laws of logarithms to rewrite logb (11xiya(y)46).
Use the laws of logarithms to rewrite log b (11 x iya(y) 46 ) . => 11 + log b x + 46log b y or 46log b 11 + 46log b x + 46log b y or 46log b 11 + log b x + log b y or log b 11 + log b x + 46l..
Use logarithm to differentiate y = (2x - 3)4 (8-x35).
Use logarithm to differentiate y = (2 x - 3) 4 ( 8 - x 3 5 ). => II or IV or I or V or III..
Use the laws of logarithms to rewrite logb27y3.
Use the laws of logarithms to rewrite log b 2 7 y 3 . => 27 3 log b y or 3 2 log b 3 + 3 2 log b y or 3 2 (log b 27 + log b y ) or 1 2 log b 3 y..
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