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What does differentiating do?

Differentiating is a process which you can apply to a function which lets you find the gradient (or slope) the function.
JL
Answered by Jack L. • Maths tutor
3566 Views

a)Given that 10 cosec^2(x) = 16 - 11 cot(x) , find the possible values of tan x .

The first part of the question is actually a "show that" the equation in the question can be rearranged to the form 10 cot^(x) + 11 cot(x) - 6 = 0. To do this add 11 cot (x) and subtract 16 to/from...
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Answered by Hebe W. • Maths tutor
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Differentiate x^x

(x^x)(ln(x)+1)
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Answered by Aadil V. • Maths tutor
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Using substitution, integrate x(2 + x))^1/2 where u^2 = 2 + x

u 2 = 2 + xx = u 2 - 2dx/du = 2u ʃ x(2 + x)) 1/2 dx= ʃ xu dx= ʃ u(u 2 - 2) dx= ʃ 2u 2 (u 2 - 2) du= ʃ 2u 4 - 4u 2 du= [2/5u 5 - 4/3u 3 + C]= 2/5 (2 + x) 5/2 - 4/3 (2 + x) 3/2 + C
SP
Answered by Sonali P. • Maths tutor
4596 Views

The volume, V, of water in a tank at time t seconds is given by V = 1/3*t^6 - 2*t^4 + 3*t^2, for t=>0. (i) Find dV/dt

The differential of a function is is rate of range of that function. Therefore to find dV/dt, we are finding the rate of change of the volume per unit time.Recall, in order to differentiate a term, e.g. x a ...
SW
Answered by Samuel W. • Maths tutor
8218 Views