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enyata [817]
3 years ago
5

Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)

Mathematics
1 answer:
almond37 [142]3 years ago
8 0

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is f(x)=e^{x}

But remeber that the derivative of  e^{x} is  e^{x}

so, f'(x)=e^{x}

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

f'(x)=e^{x}

f'(0.4)=e^{0.4}

f'(x)=1.49

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

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Answer:

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Step-by-step explanation:

Given as :

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So, From Triangle

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Or, Sin 27° =  \dfrac{\textrm H}{\textrm 30}

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I.e H = 30 × 0.4539

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Hence the height of the kite from the ground is 13.617 feet   Answer

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Find the equation of this line.<br> y = x + [ ]
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Step-by-step explanation:

Given

Sample  of 12 measurements has a mean of 16.5 and

a sample of 15 measurements has a mean of 18.6

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Similarly,

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