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Describe the structure and bonding of sodium chloride

Sodium chloride is a giant ionic lattice consisting of alternating, adjacent positively charged sodium ions and negatively charged chloride ions in a regular arrangement of rows and columns. The ions are ...

Answered by Olivia H. • Chemistry tutor

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Differentiate 2e^(3x^2+6x)

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)

Answered by Nasser C. • Maths tutor

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Suppose that 3=2/x(1)=x(1)+(2/x(2))=x(2)+(2/x(3))=x(3)+(2/x(4))+...Guess an expression, in terms of n, for x(n). Then, by induction or otherwise, prove the correctness of your guess.

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 ...

Answered by George C. • STEP tutor

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Given that the binomial expansion of (1+kx)^n begins 1+8x+16x^2+... a) find k and n b) for what x is this expansion valid?

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...

Answered by George C. • Maths tutor

5310 Views

Given that y=(sin4x)(sec3x), use the product rule to find dy/dx

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...

Answered by Edward F. • Maths tutor

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