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To differentiate you must times by the power then take one away from the power. Therefore x^2 + 7x + 4 would differentiate to become 2x + 7. The generic rule for differentiation can be written as dy/dx (x...
First of all you need to multiply the first value of each bracket, for example; x X 2x= 2x2 write this answer at the start of a new line Then multiply the first value of the first bracket by th...
First, identify the integer factors of the constant. In this case -5, has factors -1,5 and 1,-5. Now check to see if the sum of either pair is equal to the value of the coefficient of x. In this case, the...
Here, we see that the term in x in the equation is 6, so we start by looking for a perfect square where the second term would be 6 : we get 6/2 = 3 so we try (x+3)2. However, (x+3)2 = xAnswered by Marine S. • Maths tutor2714 Views
Use the product rule: d/dx(uv) = uv' + u'v, with u = x^2 and v = e^(tan(x)), so that u' = 2x and v' = sec^2(x) * e^(tan(x)), and so the answer is 2x * e^(tan(x)) + x^2 * sec^2(x) * e^(tan(x)) .
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