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Subsitute in u = 3x^2 + 6x and use chain rule to get dy/dx = dx/du x dy/dx to get dy/dx = 2(6x+6)e^(3x^2 +6)

We have 3=2/x₁=x₁+2/x₂=x₂+2/x₃=x₃+2/x₄=.... How can we guess at a general expression? One way is to try and see one by looking ...

a) We compare the expansion given to the standard binomial expansion (remembering the powers of k).(1+kx)ⁿ=1+n(kx)+(n(n-1)/2)(kx)²+...As this is true for all x (for which the expansi...

First, recall the Product rule: f(x)=g(x)*h(x), f'(x)=h(x)*g'(x)+h'(x)*g(x)This reveals the next step, to find the derivatives of our two subsidiary functions(g and h) d/dx * (sin4x) = 4cos(4x) , and d/dx...

A multifaceted and enigmatic style of modern art, Cubism is defined primarily by its break with art historical tradition. Launched by Picasso and Braque in the first decade of the twentieth-century in Par...