Differentiate f(x) = (3x + 5)(4x - 7)
A good way to approach this question is to first expand the brackets . This gives 12x2 - 21x + 20x - 35 (remember to take the negative seven into account). We can then simplify this to give 12x2 - x - 35 . Finally, we use the standard rules for differentiation to give f'(x) = 24x - 1
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All answers ▸A block of temperature H=80ºC sits in a room of constant temperature T=20ºC at time t=0. At time t=12, the block has temperature H=50ºC. The rate of change of temperature of the block (dH/dt) is proportional to the temperature difference of the block ...
a typical question would be a setof parametric equations y(t) and x(t), asking you to find dy/dx and then the tangent/normal to the curve at a certain point (ie t = 2)
Integrate tan (x) with respect to x.
Find the acute angle between the two lines... l1: r = (4, 28, 4) + λ(-1, -5, 1), l2: r = (5, 3, 1) + μ(3, 0, -4)