Differentiating Trigonometric, Logarithmic, and Exponential Functions

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Presentation transcript:

Differentiating Trigonometric, Logarithmic, and Exponential Functions Calculus Topics Differentiating Trigonometric, Logarithmic, and Exponential Functions

Derivatives you absolutely must know: Derivatives that you probably should memorize: Also, know that sin2x + cos2x = 1 Ex: Find the derivative of f(x)=x3-sinx.

Derivatives you absolutely must know: Ex: Find the derivative of f(x)=3lnx-6ex. Ex: Find the derivative of f(x)=3xlnx. Product Rule…

Ex: Find the derivative of the following:

Ex: Find the derivative of the following:

Ex: Find the derivative of the following:

Ex: Find the equation of a line tangent to f(x) at x=π/4. We need f(x) at x=π/4… Now write the tangent line equation…

To find a second derivative, find the derivative of the derivative! Ex: Find the second derivatives of the following functions.