A derivative is a function which measures the slope. It depends upon x in some way, and is found by differentiating a function of the form y = f (x). When x is substituted into the derivative, the ...

Solution : We know the answer just by looking at the graph. y = (x+5)² reaches it’s minimum value when x = -5 (i.e when x=-5, y=0). Hence x=-5 is the local and global minima of the function. Now, ...

Find \(\ds \lim_{h\to 0}\frac{f(1+h)-f(1)}{h}\) where \(\ds f(x)=\frac{3x+1}{x-2}\text{.}\) What does the result in (a) tell you about the tangent line to the graph ...

Which inverse function calculator is best? If you’re taking a math course in which you’re studying inverse functions, you’ll likely be required to graph functions and their inverses in many ways. An ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...