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3 years ago

Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.

1 answer:

3 0

Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

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Step-by-step explanation:

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2 years ago

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Additional comment

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Answer:

$f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})$

Step-by-step explanation:

The given function is

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3 years ago

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Four baskets contain scented soaps. The baskets contain 9, 9, 11, and 15 soaps. If the soaps are divided evenly among the basket

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Answer:

Step-by-step explanation:

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 Now, let’s combine this into an expression:
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