Question: Factor the following. (a) x 2 x 12 (b) x 2 36 (c) x 2 +9 x +2 2,Differentiate the function. f ( x )

Factor the following.

(a)x²x12

(b)x²36

(c)x²+9x+2

2,Differentiate the function. f(x) = (2x⁶4)¹⁸

3 Differentiate the function.f(x) = (5x⁷9)³⁵

4, Differentiate the function.s(t) =8t4(3t⁴+9)³

5 Differentiate the function.s(t) =8t4(3t⁴+9)³

^6,Differentiate the function.

f(s) =3

(5s⁷+5)⁴

7 Differentiate the function.

f(s) =3

(5s⁷+5)⁴

8 Differentiate the function. y=x²+9x

9 At the indicated point for the function, find the following. (Round your answers to the nearest whole number.)y= (x³+4x)³atx=2

(a) Find the slope of the tangent line at the given value.

(b) Find the instantaneous rate of change of the function at the given value

10 Write the equation of the line tangent to the graph of the function at the indicated point. As a check, graph both the function and the tangent line you found to see whether it looks correct.y= (x²5x+5)⁵at (4,1)

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