Question: 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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