WebNow, since all of the sum of their ages to 90, we have 27 + x + x + 3 + 2 x = 90. Simplifying this, we get 4 x + 30 = 90. Subtracting 30 from both sides, we get 4 x = 60 and dividing both sides by four, we get x = 15. Thus, Sophie is 15 years old, so Katie must be 15 + 3 = 18 years old. The cost of a tablet is £ x. WebApr 14, 2012 · The goal of linear regression is to find a line that minimizes the sum of square of errors at each x i. Let the equation of the desired line be y = a + b x. To minimize: E = ∑ i ( y i − a − b x i) 2. Differentiate E w.r.t a and b, set both of them to be equal to zero and solve for a and b. Share.

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WebFrom a geometric perspective, taking the derivative tells you the slope of the tangent line at a given point. From a historical perspective, this is sort of a workaround for Zeno's paradoxes of motion. A derivative can be interpreted as the slope of a tangent line or a rate of change (in particular, a velocity). WebWolfram Alpha calls Wolfram Languages's D function, which uses a table of identities much larger than one would find in a standard calculus textbook. It uses well-known rules such as the linearity of the derivative, product rule, power rule, chain rule and so on. Additionally, D uses lesser-known rules to calculate the derivative of a wide ... how to image a computer with a wim file

Derivative Calculator • With Steps!

WebSep 23, 2024 · A statistics professor and a math professor worked together on a cookbook. They called it “Pi A La Mode”. A mathematician sees three people go into a building. Later she sees four people leave. When she is asked how many people are in the building she replies, “Well, if one person enters the house it’ll be empty.”. WebThe slope formula is: f (x+Δx) − f (x) Δx. Put in f (x+Δx) and f (x): x2 + 2x Δx + (Δx)2 − x2 Δx. Simplify (x 2 and −x 2 cancel): 2x Δx + (Δx)2 Δx. Simplify more (divide through by Δx): = 2x + Δx. Then, as Δx heads towards 0 we … how to image a computer windows 11