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What does the slope tell you about a function?
If you want to find the initial value of an exponential, which point would you find on the graph?
Is the first derivative of a function is a constant then its graph is?
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
What is a derivative graph?
A derivative graph tracks the slope of a function.
What is a derivative in calculus?
When you take the derivative of a function, you are seeking a variation of that function that provides you with the slope of the tangent (instantaneous slope) at any value of (x). For example, the derivative of the function f(x)=x^2 is f'(x)=2x. Notice that the derivative is denoted by the apostrophe inside the f and (x). Also note that at x=0, f'(x)=0, which means that at x=0 the slope of the tangent is zero, which is correct for the function y=x^2.
What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
