Write this number in standard form 8×1+5×0.1+0+0.01+6×0.001
1 answer:
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12a. Answer: d) x⁶ f'(x) + 6x⁵ f(x)
<u>Step-by-step explanation:</u>
Use the multiplication formula for derivatives:
y = a · b → y' = a'b + ab'
<u>y = x⁶ · f(x) </u>
a = x⁶ b = f(x)
a' = 6x⁵ b' = f'(x)
<u>y' = a'b + ab'</u>
y' = 6x⁵ f(x) + x⁶ f'(x)
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12b. Answer:
<u>Step-by-step explanation:</u>
Use the division formula for derivatives:
→
Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.
Answer:
288 cm³
Step-by-step explanation:
The volume (V) of the triangular prism is
V = area of triangular base × height
area of base = × 6 × 8 = 24 cm², hence
V = 24 × 12 = 288 cm³