The slope of a function's tangent line at a point is given by the function's derivative. So, we need to find the derivative of √x − 5 = (x −5)1 2. Note that d dx x1 2 = 1 2 x− 1 2. So, the chain rule …

Feb 18, 2018 · The functional theories of grammar are different approaches to the study of language and its elements to understand linguistic structures and processes. With these …

Feb 20, 2017 · We use different methods for different kinds of functions. The function you've asked about is a rational function and there is a cookbook for this kind of function. (Or a …

Use the reverse power rule to integrate 4x-x^2 from 0 to 4, to end up with an area of 32/3 units. Integration is used to find the area between a curve and the x- or y-axis, and the shaded …

I am not sure if I got the meaning of your question right but I'll try anyway: int_0^xt^2dt=2(x-1) t^3/3|_0^x=2(x-1) x^3/3=2(x-1) Rearranging: x^3-6x+6=0 To solve this cubic equation I used …

The equation is in slope-intercept form y = mx + b, where m is slope and b is y-intercept. Here, we do not see a visible slope , but it is 1 1, or the parent linear function f (x) = x. Your y-intercept …

How do you find the y intercept, axis of symmetry and the vertex to graph the function #f (x)=2x^2-4x+1#?

Explanation: #f (x)# = # (sqrt (x+1))/ (x^2-9)# Here, considering denominator, # (x^2-9) # which becomes zero when #x=+-3# leads us to the value of the function to take infinity. Hence the …

A Central Force is a special kind of force that originates from a single point in space. A particle under the influence of this force will have its force vector always directed towards that origin …

May 29, 2018 · Since velocity is a rate of change, or the slope, and we have to find the slope of a point # (t, s (t))# we use a derivative. In this case the rate of change is # (ds)/dt# or the …