[PDF] Calculus I, Section 31, 




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[PDF] Calculus I, Section 31, 

Calculus I, Section 3 1, #28 Derivatives of Polynomials and Exponential Functions Differentiate the function 1 F(z) = A + Bz + Cz2

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[PDF] Calculus I, Section 31,   40315_203_01_028_Derivatives_of_Polynomial_and_Exponential_Functions.pdf Calculus I, Section 3.1, #28Derivatives of Polynomials and Exponential Functions

Differentiate the function.1

F(z) =A+Bz+Cz2

z2

We will use algebra to rewrite the given function in the form of the power rule for differentiation. Also, the

function notationF(z) tells us the input variable isz, soA,B, andCare constants.

F(z) =A+Bz+Cz2

z2 = A z2+Bzz2+Cz2z2 = A z2+Bz+C =Az-2+Bz-1+C and now we differentiate dF dz=A· -2·z-2-1+B· -1·z-1-1+ 0 =-2Az-3-Bz-2 or =-2A z3-Bz2 or =-2A+Bz z3

1Stewart,Calculus, Early Transcendentals, p. 180, #28.


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