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Alik [6]
1 year ago
12

Determine whether the statement is true or false. if f and g are differentiable, then d dx [f(g(x))]

Mathematics
1 answer:
Naya [18.7K]1 year ago
6 0

The given statement d dx [f(g(x))] is true if f and g are differentiable.

As we know that the value of a definite integral of a function is always a constant.

So, d d  x [f(g(x))] is a constant.

It is also known that the derivative of a constant is always equal to 1. Therefore, d dx [f(g(x))] =1 .

From this we get to know that the statement is true.

Differentiation

A method for figuring out the derivative of a function is differentiation. Differentiation is a mathematical technique for figuring out how quickly a function will change based on one of its variables.

To learn more about differentiation

brainly.com/question/28239445

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Question 7
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To solve this problem you must apply the proccedure shown below:

1. You have the following system of equation:

\left \{ {{-4x-2y=-12} \atop {4x+8y=-24}} \right.

2. As you can see, you can cancel out the variable x, because it has equal coefficient with different signs at both equations. Then, if you add both equations, you obtain:

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3 years ago
A trapezoid with an area of 36 inches squared.
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Answer:

B. 81 in.²

Step-by-step explanation:

We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.

The area of the original trapezoid is 36 square inches.

Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.

The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.

1.5 × 1.5 = 2.25

Area of new trapezoid: 2.25 × 36 in²

Area of new trapezoid = 81 in²

The area of the enlarged trapezoid would be 81 in² or option B.

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