Simplify the following by removing parentheses and combining terms - (2x + 8) + 3(2x + 8) - 2x

Mathematics

1 answer:

Sati [7]2 years ago

3 0

Answer:

2x+16

Step-by-step explanation:

PEMDAS

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Simplify the expression 6(11+4−7h)

OLga [1]

Answer:

−42h+90

Explanation:

6(11+4−7h)

=(6)(11+4+−7h)

=(6)(11)+(6)(4)+(6)(−7h)

=66+24−42h

=−42h+90

3 0

2 years ago

Read 2 more answers

1. Find the derivative with respect to x of x +1/x from first principle.

Murrr4er [49]

If you mean $f(x)=x+\frac1x$ , then the derivative is

$\displaystyle f'(x) = \lim_{h\to0} \frac{\left(x+h+\frac1{x+h}\right) - \left(x+\frac1x\right)}h \\\\ = \lim_{h\to0} \frac{(x+h)-x}h + \lim_{h\to0} \frac{\frac1{x+h} - \frac1x}h \\\\ = \lim_{h\to0} \frac hh + \lim_{h\to0} \frac{x-(x+h)}{hx(x+h)} \\\\ = \lim_{h\to0} 1 - \lim_{h\to0} \frac h{hx(x+h)} \\\\ = 1 - \lim_{h\to0} \frac1{x(x+h)} \\\\ = \boxed{1 - \frac1{x^2}}$