Finding the derivative of a function is called differentiation. Basically, you calculate the slope of the line that goes throughfat the pointsxandx+h. Because we take the limit forhto 0, these points will lie infinitesimally close together; therefore, it is the slope of the function in the...
Assume that we are given a function {eq}f(x) {/eq} and we are interested in finding the derivative of our function, {eq}f'(x) {/eq}. In order to use the limit definition, we have to: Compute a difference {eq}f(x + h) - f(x) {/eq} ...
What is the derivative of a trigonometric function and why? How do you create a quadratic equation from a graphed parabola? How to find the inverse of tan(x) How to find the angle of the sun outside during the day (adding or subtracting 23.4 degrees)?
Mathematically, xa×xb=xa+b Also, (xy)a=xa×ya Answer and Explanation: Learn more about this topic: Simplifying a Multiplication Expression | Overview & Examples from Chapter 8/ Lesson 3 51K Discover what a multiplication expression is. Learn how to simplify equations, combine like terms, and...
To prove the instability of the solution (3.14), we make use of the Lyapunov instability theorem [11]. As an appropriate Lyapunov function we choose the difference FL = E − E0 (3.3). As was proved above, its derivative is a function of fixed sign F˙L < 0 everywhere outside the ...