First and Second Derivative of s = 5t^2 - 3t^5

[enyant00]

What's the first and second derivative of:

s=5t²-3t⁵

 

[stapel]

What's the first and second derivative of:

s=5t²-3t⁵

The first derivative is the result of applying the appropriate rule(s) to the original function. The second derivative is the result of applying those same rules to the first derivative. So:

You started by applying the Power Rule they gave you for derivatives, and... then what? Where are you stuck?

Please be complete. Thank you! :wink:

 

[Steven G]

What's the first and second derivative of:

s=5t²-3t⁵

Hi, can you find the first derivative of y=5x²-3x⁵
If not you really need to go to class more often.

What is the definition of the 2nd derivative of a function?

Please answer these question for further help

 

[Vect]

What's the first and second derivative of:

s=5t²-3t⁵

For basic integration/derivation, you can use this site:
https://www.wolframalpha.com/input/?i=derivative+of+5t^2-3t^5
https://www.wolframalpha.com/input/?i=second+derivative+of+5t^2-3t^5

Otherwise this is the formula:
\(\displaystyle

\displaystyle



{d \over {dx}}\left( {c \cdot {x^a}} \right) = c \cdot {d \over {dx}}\left( {{x^a}} \right) = c \cdot a \cdot {x^{a - 1}},\;where\;c\;and\;a \in R,\;and\;are\;\exp licit\;numbers\;such\;as\;2\;or\;5.

\)