3 years ago

What is the value of a+ by when a= 7, b= and c= 1/2 ?

Mathematics

1 answer:

Marat540 [252]3 years ago

3 0

Answer:

a = 7

b =?

c = 1/2

a + by = 0

7 + b × 1/2 = 0

7 + 1/2 b = 0

1/2 b = - 7

b = -7 × 2

b = - 14

a + by

= 7 + - 14 × 1/2

= 7 -14/2

= 7 - 7

= <u>0</u>

Step-by-step explanation:

Id.k if you forgot to write the value of b or not, since the value of b is not given, this will be ur answer.

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3 years ago

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

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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.)