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According to first principles, the differential is found as the limit as h->0 of:[f(x+h)-f(x)] / hif we set our f to x^2, then we find that this expression becomes (x^2+2hx+h^2 - x^2)/hWhich simplifies...
Stationary points are points on a curve where the gradient is zero. There are three types of stationary point maximum, minimum and point of inflexion. (will draw diagrams). They can be found by differenti...
Given that w=xe-w use implicit differentiation to show that dw/dx = 1/(ew+x)Answer:Use product rule to simplify:dw/dx = x(de-w/dx) + e-w(dx/dx)Use ...
Total perimeter - 72cm. Perimeter - (3+4+5)x -> 72=12x therefore x=6. The area of the triangle is 0.5(3x4x) (because 5x is the longest side) therefore the answer is 0.5(1824) = 216cm^2
Divide through by 9 giving:(x+3)2 = 4/9 Square root both sides remembering a square root is plus or minus the answer x+3 = +/-sqrt(4/9) sqrt(4/9)=2/3for the first solution x+3 = 2/3 or x = -7/3...
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