untitled

$$\frac{\partial f}{\partial t}=5-12\left(y-2\right)^2$$  

$$\frac{\partial f}{\partial t}=5+12\left(y-2\right)^2$$  

$$\frac{\partial f}{\partial t}=5-12\left(y+2\right)^2$$  

$$\frac{\partial f}{\partial t}=5+12\left(y+2\right)^2$$  

$$2x$$  

$$2\left(x+3\right)^2$$  

$$2x+6$$  

$$\frac{30x^4}{\left(2x^5-7\right)^4}$$  

$$-\frac{30x^4}{\left(2x^5-7\right)^4}$$  

$$-\frac{30x^3}{\left(2x^5-7\right)^4}$$  

$$f''\left(x\right)=5\left(4x^3-3x+1\right)^4\left(24x\right)+20\left(4x^3+3x+1\right)^3\left(12x^2-3\right)^2\ \ \ \$$

$$f''\left(x\right)=5\left(4x^3+3x+1\right)^4\left(24x\right)+20\left(4x^3+3x+1\right)^3\left(12x^2+3\right)^2$$

$$f''\left(x\right)=5\left(4x^3+3x+1\right)^4\left(24x\right)-20\left(4x^3+3x+1\right)^3\left(12x^2-3\right)^2$$

$$f''\left(x\right)=5\left(4x^3-3x-1\right)^4\left(24x\right)-20\left(4x^3+3x+1\right)^3\left(12x^2+3\right)^2$$

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

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

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

$$f'\left(x\right)=4\sin\ 3x\ \ \$$

$$f'\left(x\right)=\sec\ x^2\cdot\tan\ x^2\cdot2$$

$$f'\left(x\right)=\sec\ x^2\cdot\tan\ x^2\cdot2x$$

$$f'\left(x\right)=\sec\ x^2\cdot\tan\ x^2\cdot x$$

$$f'\left(x\right)=\sec\ x^2\cdot\tan\ x^2$$

$$3(3x^2+2x)^3\$$

$$\left(18x+6\right)(3x^2+2x)^3$$

$$\left(6x+2\right)(3x^2+2x)^2$$

$$18x+6\ (3x^2+2x)^2$$

$$2(2x+1)$$

$$4(2x+1)^2$$

$$4(2x+1)$$

$$8(2x+1)$$