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2 years ago

Someone help me on this.

Mathematics

1 answer:

Tems11 [23]2 years ago

7 0

Answer:

$-57-39i$

Step-by-step explanation:

So we have the expression:

$(7+2i)(-9-3i)$

FOIL:

$=7(-9)+7(-3i)+2i(-9)+2i(-3i)$

Simplify:

$=-63-21i-18i-6i^2$

Recall that i² is just -1. Thus:

$=-63-21i-18i-6(-1)$

Simplify:

$=-63-21i-18i+6$

Combine like terms:

$=(-63+6)+(-21i-18i)$

Add:

$=-57-39i$

And we're done!

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Answer:

$\displaystyle f'(x) = \frac{4}{x^2}$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Differentiation

Derivatives
Derivative Notation

The definition of a derivative is the slope of the tangent line: $\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}$

Step-by-step explanation:

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Identify.

$\displaystyle f(x) = -\frac{4}{x}$

Step 2: Differentiate

[Function] Substitute in x: $\displaystyle f(x + h) = -\frac{4}{x + h}$
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Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle f'(x) = \frac{4}{x(x+ 0)}$
Simplify: $\displaystyle f'(x) = \frac{4}{x^2}$

∴ the derivative of the given function will be equal to 4 divided by x².

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Learn more about derivatives: brainly.com/question/25804880

Learn more about calculus: brainly.com/question/23558817

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

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