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3.7, #6, Given Problem.
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Differentiate:
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Given problem: number 6, Lesson 3.7. |
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Here we first use a property of logarithms to rewrite the function. |
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Now we take the derivatives using our new derivative. |
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We convert both fractions so that they have a common denominator. |
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Another form of the answer. |
3.7, #14, Given Problem.
Differentiate:  |
Given problem: number 14, Lesson 3.7 |
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We simplify the logarithmic statement using log laws. |
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We again simplify the logarithmic statement using log laws. |
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Now we differentiate, using the chain rule in the second term. |
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We simplify the result. |
3.7, #34, Given Problem.
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Use logarithmic differentiation:
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Given problem: Number 34, Lesson 3.7. |
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In logarithmic differentiation, we first take the logarithm of both sides. |
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Now we differentiate implicitly with respect to x. The chain rule is needed on the left side. On the right side we use the product rule. |
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We solve for y' by multiplying both sides by y. |
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We substitute for y based on the original problem. |
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