Derivative of Logarithmic Functions 1 3-
Description: Derivative of Logarithmic Functions 1 3- Derivative of Logarithm Function a logarithmic function with base a in terms of the natural logarithmic function: Since ln a is a constant, we can differentiate as follows: example: 2 STEPS IN
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slide1. Derivative of Logarithmic Functions 1<br>
slide2. 3- Derivative of Logarithm Function a logarithmic function with base a in terms of the natural logarithmic function: Since ln a is a constant, we can differentiate as follows: example: 2<br>
slide3. STEPS IN LOGARITHMIC DIFFERENTIATION Take natural logarithms of both sides of an equation y = f(x) and use the Laws of Logarithms to simplify.
Differentiate implicitly with respect to x.
Solve the resulting equation for y’. 3<br>
slide4. example: Differentiate: Since we have an explicit expression for y, we can substitute and write If we hadn’t used logarithmic differentiation the resulting calculation would have been horrendous. 4<br>
slide5. example: 5<br>
slide2. 3- Derivative of Logarithm Function a logarithmic function with base a in terms of the natural logarithmic function: Since ln a is a constant, we can differentiate as follows: example: 2<br>
slide3. STEPS IN LOGARITHMIC DIFFERENTIATION Take natural logarithms of both sides of an equation y = f(x) and use the Laws of Logarithms to simplify.
Differentiate implicitly with respect to x.
Solve the resulting equation for y’. 3<br>
slide4. example: Differentiate: Since we have an explicit expression for y, we can substitute and write If we hadn’t used logarithmic differentiation the resulting calculation would have been horrendous. 4<br>
slide5. example: 5<br>