3.1-3.4 Calculus Review

$$\lim_{h\rightarrow0}\ \frac{f\left(x+h\right)-f\left(x\right)}{h}$$

$$\lim_{x\rightarrow0}\ \frac{f\left(x\right)\ \ -\ f\left(a\right)}{h}$$

$$\lim_{h\rightarrow0}\ \frac{x-2}{2}$$

$$\lim_{x\rightarrow0}\ \frac{f\left(x+h\right)\ -\ f\left(h\right)}{h}$$

2x - 4

2x + 3

x² - 4x

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

$$-\frac{2}{x^3}$$

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

$$-x^2\sin\left(x\right)+2x\cos\left(x\right)$$  

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

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

$$f''\left(x\right)=720x^{10}\left(x^6+4\right)^3+150x^4\left(x^6+4\right)^4$$

$$f''\left(x\right)=120x^5\left(x^6+4\right)^3+150x^4\left(x^6+4\right)^4$$

f ''(x) = 30x⁵(x⁶ + 4)⁴

f ''(x) = 30x⁶(x⁶ + 4)⁴

5e^5x+1

e^5x

5e^5x

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