Simplify and write answer in standard form.

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps

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Help I'm not comfortable with negative numbers

Gemiola [76]

B) < because the more negative or the farther away from zero a number is the smaller it is
c) = because if you subtract a negative number you are basically adding
d) = because anytime you multiply a negative by positive your answer will always be negative

a) -11 because -8+3=-5 and -5-6=-11
b) 11 because when you multiply a negative number by another negative your answer will always be positive so -3x-2=6 and 6+5=11
c) -4 because a negative number divided by a positive is always negative
d)42 because a negative number subtracted by a positive number makes a number more negative (btw always solve things in parenthesis first) so -4-3=-7 and again a negative multiplied by another negative is always positive so -7x-6=42

8 0

3 years ago

Find the derivative of the following functions: a. f(x) = (x^3 + 5)^1/4 - 15e^x^3 b. f(x) = (x - 3)^2 (x - 5)/(x - 4)^2(x^2 + 3)

Darya [45]

Answer:

Step-by-step explanation:

Given function is

(a)F(x)= $\left ( x^{3}+5\right )^{0.25}-15e^{x^{3}}$

$F^{'}\left ( x\right )$ = $0.25\left ( x^{3}+5\right )^{-0.75}\frac{\mathrm{d} x^{3}}{\mathrm{d} x}-15e^{x^{3}}\frac{\mathrm{d} x^{3}}{\mathrm{d} x}$

$F^{'}\left ( x\right )=0.25\left ( x^{3}+5\right )^{-0.75}\times 3x^{2}-15e^{x^{3}}\times \left ( 3x^{2}\right )$

(b)F(x)= $\frac{\left ( x-3\right )^2\left ( x-5\right )}{\left ( x-4\right )^2\left ( x^{2}+3\right )^5}$

$F^{'}\left ( x\right )$ = $\frac{\left [ 2\left ( x-3\right )\right \left ( x-5\right )+\left ( x-3\right )^2]\left [ \left ( x-4\right )^2\left ( x^2+3\right )^5\right ]-\left [ 2\left ( x-4\right )^{3}\left ( x^2+3\right )^5+5\left ( x^2+3\right )^4\left ( 2x\right )\left ( x-4\right )^2\right ]\left [ \left ( x-3\right )^2\left ( x-5\right )\right ]}{\left [\left ( x-4\right )^2\left ( x^2+3\right )^5\right ]^2}$