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3 years ago

Compute the derivative of the following function f(x)=3x^2 at x=2

Mathematics

1 answer:

Oduvanchick [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Differentiate using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

f(x) = 3x², then

f'(x) = 2 × 3 × $x^{2-1}$ = 6x, thus

f'(2) = 6 × 2 = 12

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Find ST if S(-3, 10) and T(-2, 3)

FrozenT [24]

We have the following points and their coordinates:

$\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}$

We must compute the distance ST between them.

The distance ST between the two points is given by:

$ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},$

where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.

Replacing the coordinates of the points in the formula above, we find that:

$\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}$

Answer: ST = √50

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1 year ago

Is 3 pounds greater than less than or = to 50 ounces

elena-s [515]

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3 years ago

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Answer:

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Step-by-step explanation:

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Read 2 more answers

Create a 5th degree trinomial that has a constant term of 3.

erastovalidia [21]

Answer:

$4x^5\:+\:9x^2\:+\:3$ is a trinomial having three terms, with degree 5 and the constant term '3'.

Step-by-step explanation:

Considering the trinomial

$4x^5\:+\:9x^2\:+\:3$

As the polynomial contains 3 terms, so it is a trinomial.

As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.

Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.

Therefore, $4x^5\:+\:9x^2\:+\:3$ is a trinomial having three terms, with degree 5 and the constant term '3'.

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3 years ago

Compute the derivative of the following function f(x)=3x^2 at x=2​

Compute the derivative of the following function f(x)=3x^2 at x=2