Пошаговое объяснение:
1. 1/7• Х¹⁴
F'(X)=(1/7)*14x¹³=2x¹³
2. -14√Х
F'(X)=-14(1/2√x)=-7/√x
3. Х¹¹•(9х+5)
F'(X)=(9x¹²+5x¹¹)'=108x¹¹+55x¹⁰
4.(6x²-cos^7x)
F'(X)=12x+7cos⁶xsinx
5.(3+5X)/(X+14)
F'(X)=(5*(x+14)-3-5x)/(x+14)²)=(5x+70-3-5x)/(x+14)²)=(67//(x+14)²)
6.cos(п/4•6Х) =cos(1,5пх)
F'(X)=-1,5sin(1,5пх)
7. (8Х-6)¹¹
F'(X)=8*11*(8Х-6)¹⁰=88(8Х-6)¹⁰
8. Sin9x
F'(X)=9cos9x
Пошаговое объяснение:
1. 1/7• Х¹⁴
F'(X)=(1/7)*14x¹³=2x¹³
2. -14√Х
F'(X)=-14(1/2√x)=-7/√x
3. Х¹¹•(9х+5)
F'(X)=(9x¹²+5x¹¹)'=108x¹¹+55x¹⁰
4.(6x²-cos^7x)
F'(X)=12x+7cos⁶xsinx
5.(3+5X)/(X+14)
F'(X)=(5*(x+14)-3-5x)/(x+14)²)=(5x+70-3-5x)/(x+14)²)=(67//(x+14)²)
6.cos(п/4•6Х) =cos(1,5пх)
F'(X)=-1,5sin(1,5пх)
7. (8Х-6)¹¹
F'(X)=8*11*(8Х-6)¹⁰=88(8Х-6)¹⁰
8. Sin9x
F'(X)=9cos9x