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Furkat [3]
3 years ago
15

-8w + 3z when w = 2.2 and z = 9.1.

Mathematics
1 answer:
amm18123 years ago
4 0
The answer would be 9.7
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Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h

Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

3 0
2 years ago
Y=−2x+4y, equals, minus, 2, x, plus, 4
vlabodo [156]

The missing value of the solution to the equation y = −2x + 4, is: 3.

<h3>What is the Solution to an Equation?</h3>

The solution to a given equation, is the x and y values of an ordered pair that would make the equation true, if we substitute their values into the equation.

Given the equation, y = -2x + 4, and we have (x, -2) as the solution where the value of x is the missing value in the solution, to find the value of x, substitute y = -2 into the equation and solve for x:

-2 = -2x + 4

Subtract 4 from both sides

-2 - 4 = -2x + 4 - 4 (subtraction property of equality)

-6 = -2x

Divide both sides by -2

-6/-2 = -2x/-2

3 = x

x = 3

Therefore, the missing value is: 3.

Learn more about the solution to an equation on:

brainly.com/question/25678139

#SPJ1

3 0
1 year ago
Help me assapppp!!! Pls
mafiozo [28]

Answer:

have you tries adding them together?

5 0
3 years ago
What is the value of y in the solution to this system of equations?<br> y=3-2x/2<br> 4x-6y=36
Paul [167]

Answer:

idekqwarwera

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (5, - 2) and has a slope of - 2/5
nirvana33 [79]

Answer:

Y=-2/5x

Step-by-step explanation:

Y-int: (0,0)

x-int:(-2,5)

7 0
3 years ago
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