Mathematics Clinic > Calculus

For the total-cost functionC(x) = 0.01x2+ 2.2x + 80,find C and C'(x) when x = 100 and x = 1.

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KimWrice:
Question 1For the total-cost function

C(x) = 0.01x2 + 0.8x + 50,

find ΔC and C'(x) when x = 50 and Δx = 1.
◦ ΔC = $1.00; C'(50) = $1.00
◦ ΔC = $1.81; C'(50) = $1.30
◦ ΔC = $1.81; C'(50) = $1.80
◦ ΔC = $1.81; C'(50) = $1.00

Question 2For the total-cost function

C(x) = 0.01x2 + 2.2x + 80,

find ΔC and C'(x) when x = 100 and Δx = 1.
◦ ΔC = $4.21; C'(100) = $2.22
◦ ΔC = $4.20; C'(100) = $4.20
◦ ΔC = $4.21; C'(100) = $3.20
◦ ΔC = $4.21; C'(100) = $4.20

elizabethrperez:
Answer 1ΔC = $1.81; C'(50) = $1.80

Answer 2ΔC = $4.21; C'(100) = $4.20

chrisneedsmathhelpfr:
thank you

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