Question

how to differentiate this?

Answer 1

\[h= 22t-4.9t^{2}\]

Answer 2

@apoorvk

Answer 3

power rule

Answer 4

22t involves the constant multiple rule where in derivative of ax where a is a constant is equal to a

Answer 5

as for -4.9t^2 use power rule

\[ax^n = nax^{n-1}\]

Answer 6

get it @thushananth01 ??

Answer 7

Remember these rules when differentiating functions like these

1) When differentiating a constant, f'(x) = 0
2) When differentiating a exponential r*x^(r-1) ** r is the power
for example x^2, differentiates to 2x, or 2x^2 differentiates to 4x
3) when different a constant times a variable, the differentiation is the constant
for example 6x becomes 6, 2x becomes 2

Although the formal definition is defined as

\[\lim_{x \rightarrow h} f(x + h) - f(x) / h\]

Answer 8

\[1.\frac{dx^n}{dx} = nx^{n-1}\]
\[2.\frac{d(ky)}{dx} = \frac{k.d(y)}{dx}\]
\[3. \frac{d(u \pm v)}{dx} = \frac{d(u)}{dx} \pm \frac{d(v)}{dx}\]

Answer 9

oh...okay so...what si the answer

Answer 10

Use these three^

Answer 11

@thushananth01 if you want you can check this out http://openstudy.com/study#/updates/4f9cb59de4b000ae9ed1a3e8 for an awesome tutorial on differentiation

Answer 12

i did i am getting
\[-9.8t-22\]

Answer 13

o.O??????????

Answer 14

close..no negative for 22

Answer 15

it's simply 22 - 9.8t got it?

Answer 16

why no negative for -22?

Answer 17

22t...<--derivative of that is just take away t

Answer 18

oh okay

Answer 19

but then the answers is
\[22- 9.8t\]
right

Answer 20

yes it is

Answer 21

thansk alot..bro

Answer 22

sure thing ^_^