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Mathematics 22 Online
OpenStudy (anonymous):

Find the derivative of the function. F(t) = e^4tsin 2t

OpenStudy (anonymous):

Use product rule f(x) • g(x) = (f '(x) • g(x)) + (f(x) • g'(x)).

OpenStudy (anonymous):

is that the chain rule?

OpenStudy (anonymous):

this is a product of 2 functions e^4t and sin2t. so using the rule i put up there u differentiate it.

OpenStudy (anonymous):

chainrule is used on a function of a function like sin2t or e^4t The chain rule which states that the derivative of a composite function equals: (derivative of outside) • (inside) • (derivative of inside).

OpenStudy (anonymous):

Sin 2t Cos . 2t. 2= 2 cos(2t) e^4t e^ . 4t . 4= 4e^4t

OpenStudy (anonymous):

It is both chain rule and product rule i guess Jnlucero u r right to say it is chain rule

OpenStudy (anonymous):

Is this of any help erfan1234567

OpenStudy (anonymous):

yes

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