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smileybug96
 3 years ago
how do i differentiate a function
smileybug96
 3 years ago
how do i differentiate a function

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tjones89
 3 years ago
Best ResponseYou've already chosen the best response.0it depends on the function, there are different rules you can use for different types

cljohn
 3 years ago
Best ResponseYou've already chosen the best response.1use the rules of differentiatin

smileybug96
 3 years ago
Best ResponseYou've already chosen the best response.0what if i have like, sin(3x^3 +1) how would i do that?

cljohn
 3 years ago
Best ResponseYou've already chosen the best response.1use the trig rules of differentiation, the derivative of sin is cos, the derivative of cosx is sinx and the derivative of sinx is cosx. Last the derivative of cosx is sinx, then the pattern starts over

cljohn
 3 years ago
Best ResponseYou've already chosen the best response.1then you need to use the chain rule for 3x^3+1

smileybug96
 3 years ago
Best ResponseYou've already chosen the best response.0so, im gonna say, cosx(9x+1)?

smileybug96
 3 years ago
Best ResponseYou've already chosen the best response.0oh wait, imeant 9x^2 +1

cljohn
 3 years ago
Best ResponseYou've already chosen the best response.1almost except you take the derivative of the outside function of sin(3x^3+1), disregard the 3x^3+1 and we will make that x, so the derivative of sinx is cos x.

smileybug96
 3 years ago
Best ResponseYou've already chosen the best response.0so what would the final answer be?..youre answer is kinda confusing:p

cljohn
 3 years ago
Best ResponseYou've already chosen the best response.1then replace the x and the derivative is cos(3x^3+1). BEcause there is a function within sinx we must use the chain rule. Now you need to to multiply by the derivative of the inside function of (3x^3+1) which is 9x. The derivative of the while funtion should now be 9xcos(3x^3+1)

smileybug96
 3 years ago
Best ResponseYou've already chosen the best response.0ohhhh okay, thank you :)
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