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For each of the functions given below, select the rules you use in finding the derivative formula. a.) f(x)=x/3 Slope of a line (includes derivative

For each of the functions given below, select the rules you use in finding the derivative formula.

a.) f(x)=x/3

Slope of a line (includes derivative of a constant)

Derivative of a power

Derivative of an exponent

Constant multiple rule

Sum/Difference rule

Product rule

Quotient rule

Chain rule

b.) g(x)=2x+7

Slope of a line (includes derivative of a constant)

Derivative of a power

Derivative of an exponent

Constant multiple rule

Sum/Difference rule

Product rule

Quotient rule

Chain rule

c.) f(x)=2x^3x^2+4

Slope of a line (includes derivative of a constant)

Derivative of a power

Derivative of an exponent

Constant multiple rule

Sum/Difference rule

Product rule

Quotient rule

Chain rule

d.) h(x)=(x^3-2)/(x^2+3)

Slope of a line (includes derivative of a constant)

Derivative of a power

Derivative of an exponent

Constant multiple rule

Sum/Difference rule

Product rule

Quotient rule

Chain rule

e.) y(x)=x^2e^X

Slope of a line (includes derivative of a constant)

Derivative of a power

Derivative of an exponent

Constant multiple rule

Sum/Difference rule

Product rule

Quotient rule

Chain rule

f.) w(t)=(t^3+2t+1)^15

Slope of a line (includes derivative of a constant)

Derivative of a power

Derivative of an exponent

Constant multiple rule

Sum/Difference rule

Product rule

Quotient rule

Chain rule

g.) h(t)=e^(t^5) (The t^5) is an exponent of 'e' and the '5' is an exponent of the 't'.

Slope of a line (includes derivative of a constant)

Derivative of a power

Derivative of an exponent

Constant multiple rule

Sum/Difference rule

Product rule

Quotient rule

Chain rule

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