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Sin^2(x) cannot be integrated in its current form so you must use trigonometric identities to change sin^2(x) into something else.
Use the formula for cox(2x): cos(2x)=cos(x+x)=cos^2(x)-s...
a.) dy/dx+10x^4+20x^3
d^2y/dx^2=40x^3+60x^2
b.)sub in x=-1 to dy/dx=10(-1)^4+20(-1)^3
=-10
therefore, decreasing
The chain rule is used to differentiate composite functions, ie "a function of a function". In this case we have an outer function and an inner function. For example
Differentia...
cos(AOB) = a.b/(|a| x |b|)
a.b = (6i - j + 3k).(-4i + 2j + 10k)
= (6 x -4...
multiply with conjugate 5-root3 such that the denominator gets rational
(5-root3)^2/((5+root3)(5-root3)) = (25-10root3+3)/(25-3)=(28-10root3)/22 = 14/11 - 5root3/11
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