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Leokris [45]
3 years ago
11

E^2x + sin(x+3y) - 1 = 0 x = 0 , y = 0 Dy/dx=...? a. -1 b. 0 c. 1

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

to be honest I'm not sure

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What’s the derivative of the function: A) f(x)= 1/x , in point 2. B) f(x)= 5x^2 , in point 3
bija089 [108]

Using the power rule, the derivatives are given as follows:

a) f^{\prime}(2) = -\frac{1}{4}.

b) f^{\prime}(3) = 30.

<h3>What is the power rule for a derivative?</h3>

Suppose we have a power function given by:

f(x) = x^n

The derivative of the function is given by:

f^{\prime}(x) = n \times x^{n-1}

Item a:

The function is:

f(x) = \frac{1}{x} = x^{-1}

Then the derivative is:

f^{\prime}(x) = -x^{-2} = -\frac{1}{x^2}

When x = 2, the derivative is:

f^{\prime}(2) = -\frac{1}{4}

Item b:

The function is:

f(x) = 5x^2

Then the derivative is:

f^{\prime}(x) = 10x

When x = 3, the derivative is:

f^{\prime}(3) = 30

More can be learned about derivatives at brainly.com/question/2256078

#SPJ1

5 0
2 years ago
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