There are a lot of functions of which the derivative can be determined by a rule. Then you do not have to use the limit definition anymore to find it, which makes computations a lot easier. All these rules can be derived from the definition of the derivative, but the computations can so...
See also: How to find the domain and range of a function.2.Even or OddAn even function. Even functions have symmetry about the vertical axis: f(-x) = x for every x. An odd function. Odd functions have symmetry about the origin: f(-x) = x for every x in the domain....
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With Calculus, if we have two curves, or functions, with one independent variable, we can find the area bounded by both function finding x-axis coordinate of their interceptions points (integration limits) and solve an integral definite with the form: ...
Exponential functions have the variable x in the power position. For example, an exponential equation can be represented by: f(x) = bx. Like other algebraic equations, we are still trying to find an unknown value of variable x. One way to think of exponential functions is to think about ...
I took a Matlab course over the summer, and now have to graph a problem in calculus. I am rusty on my commands, so I'm not sure which one to use. I am trying to make a 3-d plot of a function f(x,y)=-(x^2-1)^2-(x^2y-x-1)^2. Do I have to open a function, or...
How to find maximum revenue calculus?The Revenue Function:The revenue function is a mathematical expression that shows the relationship between sales with various levels of output. The firm uses the function to make output decisions that maximize profit. For example, all the firms maximize profit ...
Precalculus Skills Practice Jump to a specific example Instructors Kathryn Boddie View bio Marisa Bjorland View bio Steps for Finding Intercepts, Asymptotes, Domain, and Range From the Graph of a Rational Function Step 1:Find all intercepts. The {eq}x {/eq}-interc...
How to Use a Graphing Calculator to Find Zeros of a Polynomial Function: Example 1 Use a graphing calculator to find the zeros of the function {eq}f(x)=2x^{4} + x^{3} - 4x^{2} +x+2 {/eq}. Step 1:On a graphing calculator, press [y=]. ...
Let g(x) and h(y) be differentiable functions, and let f(x, y) = h(y)i+ g(x)j. Can f have a potential F(x, y)? If so, find it. You may assume that F would be smooth. (Hint: Consider the mixed partial derivatives of F.) How to answer this question? Wha...