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I'm confused about differentiation and integration, could you explain these to me?

Let's start with differentiation. Differentiation is the instantaneous rate of change. We differentiate functions to find their rate of change as a function of their input values, this is known as a function...
GD
Answered by Gabriel D. • Maths tutor
7352 Views

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
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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...
HW
Answered by Hebe W. • Maths tutor
5825 Views

Differentiate x^x

(x^x)(ln(x)+1)
AV
Answered by Aadil V. • Maths tutor
4176 Views

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
4549 Views