Question

Найти производную функций:
1) f(x)=cos(3/4x - 1)
2) f(x)=sin(x/4 - 7)
3) f(x)= cos(0,8x - 3)
4) f(x)= x² + x³ + e^x -4
5) f(x)= 2^x + e^x - sinx
6) f(x) = 9x² - cosx

Answer 1

1) f'(x)=(cos(3/4x - 1))'=-(3/4)sin(3/4x - 1)

2) f'(x)=(sin(x/4 - 7))'=(1/4)cos(x/4 - 7)

3) f'(x)= (cos(0,8x - 3))'=-0.8sin(0.8x - 3)

4) f'(x)= (x² + x³ + eˣ -4)'=2x+3x²+eˣ

5) f'(x)= (2ˣ + eˣ - sinx)'=2ˣ㏑2+eˣ-cosx

6) f'(x) = (9x² - cosx)'=18x+sinx