Question

find derivative

Answer 1

\[y=5-\theta^7\cos\]

Answer 2

would it be
7\[7\theta^6-\sin\]

Answer 3

Do you mean:
\(y = 5 - cos^{7}(\theta)\) ??

Answer 4

\[y = 5 - \cos ^{7} \theta\]]

Answer 5

no the problem is exactly like this
\[y=5-\theta^7\cos \theta\]

Answer 6

Oh okay..


And you have to find derivative with respect to x or theta??

Answer 7

what? where is the x here?

Answer 8

so would that turn in to
\[y=5-\cos \theta^8\]

Answer 9

Oh God..

There is no x..

Answer 10

with respect to theta. there is no x here.

Answer 11

\[\theta^7 \cdot \cos(\theta)\]

Here to find its derivative you will use Product rule..

Answer 12

would the derivative be
\[y= -8 \sin \theta^7\]

Answer 13

But there is one - outside..

Yep that is right..

Answer 14

\[\large Derivative(u \cdot v) = u \cdot v' + v \cdot u'\]

Answer 15

\[\frac{ dy }{ d \theta } = - (7\theta ^{6} Cos \theta - \theta ^{7} Sin \theta )\]

Answer 16

y = 5 - (cos x)^7
y' = -7(cos x)^6(-sin x)

Answer 17

ok I understand. Used the quotient rule
right

Answer 18

thanks

Answer 19

it is very confusing what the actual problem is everytime billie is writing something else