3x-2)'...

July 2022 1 4 Report

Подробно вычислить производные функций:
1. (2cosx+6x^3)'
2. (sin5x+ctg3x)'
3. (e^7x-log₅4x)'
4. ((4-3x)^7)'
5. ((3x^6+2x)^5)'
6. (cos(2x^5-5))'
7. (1/9ln(-3x))'
8. (x^3*sinx)'
9. (6x^5*ctg4x)'
10. (cos4x/3x-2)'

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NNNLLL54

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$1)\; \; (2cosx+6x^3)'=-2sinx+6\cdot 3x^2\\\\2)\; \; (sin5x+ctg3x)'=5cos5x-\frac{3}{sin^23x}\\\\3)\; \; (e^{7x}+log_54x)'=7e^{7x}+ \frac{4}{4x\cdot ln5} \\\\4)\; \; ((4-3x)^7)'=7(4-3x)^6\cdot (-3)\\\\5)\; \; ((3x^6+2x)^5)'=5(3x^6+2x)^4\cdot (3\cdot 6x^5+2)\\\\6)\; \; (cos(2x^5-5))'=-sin(2x^5-5)\cdot 2\cdot 5x^4\\\\7)\; \; (\frac{1}{9}ln(-3x))'=\frac{1}{9}\cdot \frac{-3}{-3x} =\frac{1}{9x}\\\\8)\; \; (x^3\cdot sinx)'=3x^2\cdot sinx+x^3\cdot cosx$

$9)\; \; (6x^5\cdot ctg4x)'=$ $6\cdot 5x^4\cdot ctg4x+6x^5\cdot \frac{-4}{sin^24x}$

$10)\; \; (\frac{cos4x}{3x-2})'= \frac{-4sin4x\cdot (3x-2)-cos4x\cdot 3}{(3x-2)^2}$

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5 [1;10]...

najti ploshad figury ogranichennoj liniyami pryamymi y5 x x1 x4 i osyu ox

najti naibolshee i naimenshee znachenie funkcii na otrezke yx2 6x19 14

pomogite proshu 5 kornej iz 6237 umnozhennoe na 5 kornej iz 6333

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