prove (sin^3(x)+cos^3(x))/(sin(x)+cos(x))=1-sin(x)cos(x)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify prove identity periodicity amplitude

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∫ 5x· 2^xdx

Solution

5(2^xxln(2) −2^xln²(2) )+C

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Function range definition

The set of values of the dependent variable for which a function is defined

Vertex of 2x²−1+5x−6: Minimum (−54 , −818 )

For a parabola ax²+bx+c with Vertex (x_v, y_v)
If a<0 the range is f(x)≤ y_v
If a>0 the range is f(x)≥ y_v
a=2, Vertex (x_v, y_v)=(−54 , −818 )

f(x)≥ −818

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