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### Give the exponential function whose 2nd derivative is equal to function itself = ...? ____________________________________

```     x  -x
e, e    both
```
##### Explanation
```                           x            x
We know the derivative of e   is again e  (i.e itself)
x     d   x   x
First derivative of e   = --- e = e
dx
x    d   x
Second derivative of e  = --- e
dx
```

Therefore e^x is the function whose 2nd derivative is itself.

```                           -x            -x
We know the derivative of e   is again -e
-x    d   -x   -x
First derivative of e   = --- e  = -e
dx
-x   d   -x    -x
Second derivative of e  = --- -e  = e
dx
```

Therefore e^-x is the function whose 2nd derivative also is itself.Therefore e^x and e^-x both's 2nd derivative is equal to the function itself.

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##### SHORTCUT TRICKS (Division)
• Divisible by 2 Shortcut trick
• Divisible by 3 Shortcut trick
• Divisible by 4 Shortcut trick
• Divisible by 5 Shortcut trick
• Divisible by 6 Shortcut trick • Divisible by 7 Shortcut trick • Divisible by 8 Shortcut trick • Divisible by 9 Shortcut trick
• Divisible by 10 Shortcut trick

##### Worksheets (Solved)

###### Integration     