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3.7 – Implicit Differentiation - PowerPoint PPT Presentation


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3.7 – Implicit Differentiation. An Implicit function is one where the variable “y” can not be easily solved for in terms of only “x”. Examples:. 3.7 – Implicit Differentiation.

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3.7 – Implicit Differentiation


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    1. 3.7 – Implicit Differentiation An Implicit function is one where the variable “y” can not be easily solved for in terms of only “x”. Examples:

    2. 3.7 – Implicit Differentiation Differentiating an implicit function will create the derivative () needed to calculate the slope of any tangent on the curve or the rate of change at any value of the independent variable. Find

    3. 3.7 – Implicit Differentiation Find

    4. 3.7 – Implicit Differentiation

    5. 3.7 – Implicit Differentiation Find the equation of the tangent and normal lines for the following implicit function at the given point.

    6. 3.8 – Derivatives of Inverse Functions and Logarithms

    7. 3.8 – Derivatives of Inverse Functions and Logarithms Find

    8. 3.8 – Derivatives of Inverse Functions and Logarithms Find

    9. 3.8 – Derivatives of Inverse Functions and Logarithms Find

    10. 3.8 – Derivatives of Inverse Functions and Logarithms Logarithmic Differentiation This technique is useful in cases where it is easier to differentiate the logarithm of a function rather than the function itself. 

    11. 3.8 – Derivatives of Inverse Functions and Logarithms Logarithmic Differentiation

    12. 3.8 – Derivatives of Inverse Functions and Logarithms Logarithmic Differentiation