$$12x^3-10x+2$$

$$9x^3-5x+2$$

$$6x^3-10x+2$$

$$12x^2-10x+2$$

$$\left(x^2-1\right)\left(2x+3\right)$$

$$\left(2x+3\right)\left(2x\right)-2\left(x^2-1\right)$$

$$2\left(x^2-1\right)+\left(2x+3\right)\left(x\right)$$

$$2\left(x^2-1\right)+\left(2x+3\right)\left(2x\right)$$

$$4\left(5x^2+1\right)^3$$

$$4\left(5x^2+1\right)^3\times5x$$

$$4\left(5x^2+1\right)^3\times10x$$

$$5\left(5x^2+1\right)^4$$

$$\frac{2x-\left(x^2+1\right)}{x^2}$$

$$\frac{x^2-1}{x^2}$$

$$\frac{2x-1}{x^2}$$

$$\frac{x^2+1}{x^2}$$

4 Sin(4x+3)

3 Sin(4x+3)

4 Cos(4x+3)

3 Cos(4x+3)

 Cos(4x+3)

2 Cos 2x - 3 Sin 3x + 4

2 Cos 2x + 3 Sin 3x + 4

-2 Cos 2x +3 Sin 3x + 4

 Cos 2x -  Sin 3x + 4

2 Cos 2x - 3 Sin 3x + 4x

2 cos x - 2x. sin x

2x cos x - 2x. sin x

2 cos x + 2x. sin x

2x cos x - 2. sin x

2x cos x + 2x. sin x

f ' (x) = 3 cos (4x)

f ' (x) = 12 cos (4x)

f ' (x) = 3 sin (4x)

f ' (x) = 12 sin (4x)

f ' (x) = - 12 cos (4x)

-2 sec²(x²)

2 sec²(x)

-2x sec(x²)

2x sec²(x²)

2 sec²(x²)

$$\frac{\cos\left(x\right)-x\sin\left(x\right)}{\sin^2x}$$  

$$\frac{\sin\left(x\right)-x\cos\left(x\right)}{\sin^2x}$$  

$$\frac{\sin\left(x\right)+x\cos\left(x\right)}{\sin^2x}$$   

$$\frac{\sin\left(x\right)-x\sin\left(x\right)}{\sin^2x}$$  

$$\frac{\sin\left(x\right)-x\cos\left(x\right)}{\cos^2x}$$  

$$f'\left(x\right)=2\sin2x$$  

$$f'\left(x\right)=\frac{1}{2}\sin2x$$  

$$f'\left(x\right)=-\frac{1}{2}\sin2x$$  

$$f'\left(x\right)=-2\sin2x$$  

$$f'\left(x\right)=-4\sin2x$$  

$$f'\left(x\right)=3\sin\left(x^2-2x+5\right)$$  

$$f'\left(x\right)=\left(2-2x\right)\sin\left(x^2-2x+5\right)$$  

$$f'\left(x\right)=\left(2x-2\right)\sin\left(x^2-2x+5\right)$$  

$$f'\left(x\right)=\left(6-6x\right)\sin\left(x^2-2x+5\right)$$  

$$f'\left(x\right)=\left(6x-6\right)\sin\left(x^2-2x+5\right)$$  

$$\cos x\sin x$$  

$$3\cos^2x\sin x$$  

$$-3\cos^2x\sin x$$  

$$3\sin^2x\cos x$$  

$$\cos^3x\sin x$$  

$$4$$  

$$2$$  

$$\frac{1}{2}\sqrt{2}$$  

$$-\frac{1}{2}\sqrt{2}$$  

$$-1$$  

$$0$$  

$$\sqrt{3}$$  

$$\frac{1}{2}\sqrt{3}$$  

$$\frac{1}{4}\sqrt{3}$$  

$$1$$  

$$f'\left(x\right)=-2\ \sin\left(4x-10\right)$$

$$f'\left(x\right)=2\ \sin\left(4x-10\right)$$

$$f'\left(x\right)=2\ \sin\left(x-5\right)$$

$$f'\left(x\right)=4\ \sin\left(4x-10\right)$$

$$f'\left(x\right)=\sin\left(4x-10\right)$$

$$y'=3\sin\left(6x+2\right)-2\ \sin\left(2x+3\right)$$  

$$y'=3\sin\left(6x+2\right)+2\ \sin\left(2x+3\right)$$  

$$y'=3\sin\left(3x+1\right)-2\ \sin\left(2x+3\right)$$  

$$y'=3\sin\left(3x+1\right)+2\ \sin\left(2x+3\right)$$  

$$y'=-3\sin\left(6x+2\right)-2\ \sin\left(2x+3\right)$$  

h'(x) = sec x

h'(x) = sec² x

h'(x) = cos x

h'(x) = - sec x

h'(x) = $$\frac{1}{\sin\ x}$$

24 sin² (4x - 1) cos (4x - 1)

12 sin²(4x - 1) cos (4x - 1)

8 sin³(4x - 1) cos (4x - 1)

16 sin²(4x - 1) cos²(4x - 1)

20 sin (4x - 1) cos (4x - 1)