prove (cos(x))/(1-sin(x))=sec(x)+tan(x)

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

☐²

x^☐

√☐

^□√☐

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log_□

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ddx

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

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ddx ((20x³−8x²+12x−7)+(−10x³+11x²−14x+6))

Solution

30x²+6x−2

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ddx ((20x³−8x²+12x−7)+(−10x³+11x²−14x+6))

(f±g)′=f ′±g′ :השתמש בחוק החיבור

=ddx (20x³)−ddx (8x²)+ddx (12x)−ddx (7)−ddx (10x³)+ddx (11x²)−ddx (14x)+ddx (6)

ddx (20x³)=60x²

ddx (8x²)=16x

ddx (12x)=12

ddx (7)=0

ddx (10x³)=30x²

ddx (11x²)=22x

ddx (14x)=14

ddx (6)=0

=60x²−16x+12−0−30x²+22x−14+0

פשט

=30x²+6x−2

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prove (cos(x))/(1-sin(x))=sec(x)+tan(x)

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