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 We now know how to differentiate sin x and x 2, but how do we differentiate a composite function, such as sin (x 2 -4)?

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Presentation on theme: " We now know how to differentiate sin x and x 2, but how do we differentiate a composite function, such as sin (x 2 -4)?"— Presentation transcript:

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2  We now know how to differentiate sin x and x 2, but how do we differentiate a composite function, such as sin (x 2 -4)?

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4  An object moves along the x –axis so that its position at any time t>0 is given by x(t)= cos(t 2 +1).  Find the velocity of the object as a function of t.

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6  Differentiate sin (x 2 + x) with respect to x.

7  We sometimes have to use the chain rule two or more times to find the derivative.

8  Find the dervative of g(t) = tan (5 - sin2t).

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10  When evaluating cos and sin functions on your TI- calculator, what mode should it be in, radian or degree?


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