QUESTION1

[3points]Computethederivativeofthefollowingfunctions.

(a)y(x)=7^3x1

(b)y(x)=ln (x³+5)

(c) y(x)=x²e^5x+1

(d)y(x)= 5x2

3x²+4

QUESTION2

Considerthecurvetraced inthex-yplanebythefollowingfunction,

y(x)=73x+x⁵.

1. [1point]Whatistheslopeofthecurveatx=0?
2. [1point]Atwhatvaluesofx,ifany,doesthecurvereachalocalmaximum? Whataboutalocalminimum?
3. [1 point]What is themaximum valueof the curvebetweenx=- 2 andx=2?Whatisitsminimumvalue inthatregion?