What is the d/(dA)(0.0155A^3-0.372A^2+3.95A+1.21) ?

The d/(dA)(0.0155A^3-0.372A^2+3.95A+1.21) is 0.0465A^2-0.744A+3.95

What is the first d/(dA)(0.0155A^3-0.372A^2+3.95A+1.21) ?

The first d/(dA)(0.0155A^3-0.372A^2+3.95A+1.21) is 0.0465A^2-0.744A+3.95

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\frac{d}{d A} (0.0155 A^{3} - 0.372 A^{2} + 3.95 A + 1.21)

0.0465 A^{2} - 0.744 A + 3.95

Solution steps

\frac{d}{d A} (0.0155 A^{3} - 0.372 A^{2} + 3.95 A + 1.21)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d A} (0.0155 A^{3}) - \frac{d}{d A} (0.372 A^{2}) + \frac{d}{d A} (3.95 A) + \frac{d}{d A} (1.21)

\frac{d}{d A} (0.0155 A^{3}) = 0.0465 A^{2}

\frac{d}{d A} (0.372 A^{2}) = 0.744 A

\frac{d}{d A} (3.95 A) = 3.95

\frac{d}{d A} (1.21) = 0

= 0.0465 A^{2} - 0.744 A + 3.95 + 0

Simplify

= 0.0465 A^{2} - 0.744 A + 3.95

What is the d/(dA)(0.0155A^3-0.372A^2+3.95A+1.21) ?
The d/(dA)(0.0155A^3-0.372A^2+3.95A+1.21) is 0.0465A^2-0.744A+3.95
What is the first d/(dA)(0.0155A^3-0.372A^2+3.95A+1.21) ?
The first d/(dA)(0.0155A^3-0.372A^2+3.95A+1.21) is 0.0465A^2-0.744A+3.95