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From a right angled triangle with hypotenuse u and angle theta, we see the horizontal speed is (u cos theta) and the initial vertical speed is (u sin theta). As the ball moves in a symmetric parabola, it ...
Lim((f(x+h)-f(x)))/h= lim(((x+h)2 -x2)/h)=lim((h2 +2xh)/h) as h tends to 0 the limit becomes 2x
a) f'(x)=2x-2-12x1/2B)f'(x)=2+6x-3/2c)f'(4)=0d) local minimum
The chain rule is a technique used when differentiating. It is needed when differentiating composite functions, i.e. when y = f(g(x)).For example, y = sin(x^3) is a composite function, where (referring to...
1)Separating variables. Firstly, we need to get the y terms all on the dy/dx side and the x terms on the other side. In this case, we divide both sides by y which gives (1/y)dy/dx = 1/(x+...
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