Найти производные:а) F(x)= (4-x^2)*Sin xб) F(x)= (2- корень из X)*tg xв) F (x)=Sin3x+Cos5xг) F(x) = (3-2x^3)^5. Created by spirit11. algebra-ru

A) f'(x) = (4 - x^2)' * sinx + (sinx)' * (14 - x^2) = -2xsinx + cosx(4 - x^2)б) f'(x) = (2 - )' * tgx + (tgx)' * (2 - ) = - * tgx + }{cos^{2}x} [/tex]в) f'(x) = 3cos3x - 5sin5xг) f'(x) = 5(3 - 2x^3)^4 * 6x^2 = 30x(3 - 2x^3)^4

Найти производные:а) F(x)= (4-x^2)*Sin xб) F(x)= (2- корень из X)*tg xв) F (x)=S...

spirit11 @spirit11

July 2022 1 10 Report

Найти производные:
а) F(x)= (4-x^2)*Sin x
б) F(x)= (2- корень из X)*tg x
в) F (x)=Sin3x+Cos5x
г) F(x) = (3-2x^3)^5

Answers & Comments

rustam3010 A) f'(x) = (4 - x^2)' * sinx + (sinx)' * (14 - x^2) = -2xsinx + cosx(4 - x^2)
б) f'(x) = (2 - $\sqrt{x}$ )' * tgx + (tgx)' * (2 - $\sqrt{x}$ ) = - $\frac{1}{2 \sqrt{x} }$ * tgx + $\frac{2 - [tex] \sqrt{x}$ }{cos^{2}x} [/tex]
в) f'(x) = 3cos3x - 5sin5x
г) f'(x) = 5(3 - 2x^3)^4 * 6x^2 = 30x(3 - 2x^3)^4

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