- Continuity and Differentiability part 31 (Example Logarithimic Derivative)
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- Continuity and Differentiability part 30 (Example Logarithimic Derivative)
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- Differentiation - Logarithmic Differentiation
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- Continuity and Differentiability part 28 (Logarithimic Differentiation)
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- Continuity and Differentiability part 29 (Example Logarithimic Derivative)
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- Logarithmic Differentiation (example 2)
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- Logarithmic Differentiation (example1)
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If u, v and w are functions of x, then show that
`d/dx(u.v.w) = (du)/dx v.w+u. (dv)/dx.w + u.v. (dw)/dx`
in two ways-first by repeated application of product rule, second by logarithmic differentiation.
Differentiate (x2 – 5x + 8) (x3 + 7x + 9) in three ways mentioned
- (i) by using product rule
- (ii) by expanding the product to obtain a single polynomial.
- (iii) by logarithmic differentiation.
Do they all give the same answer?d below:
Find the derivative of the function given by f (x) = (1 + x) (1 + x2) (1 + x4) (1 + x8) and hence find f ′(1).