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3 years ago

Obtain the derivative of ln(tanx).

1 answer:

4 0

The derivative of the expression ln (tanx) by first taking the terms by parts. We use the logarithmic and trigonometric theorems of differential calculus. The derivative of ln x is dx / x while the derivative of tan x is sec^2 x dx. hence the complete derivation of the function ln (tanx) is sec^2 x dx / x.

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Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.

Fiesta28 [93]

Answer:

$m = -\frac{1}{2}$

$y\ intercept = -1$

$y = -\frac{1}{2}x -1$

Step-by-step explanation:

Given

$(x_1,y_1) = (-2,0)$

$(x_2,y_2) = (0,-1)$

Required

Determine the slope and y intercept from graph

To calculate the slope, we have:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-1-0}{0 - (-2)}$

$m = \frac{-1}{0 +2}$

$m = -\frac{1}{2}$

The y intercept is when $x = 0$

So,

$y\ intercept = -1$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives

$y = -\frac{1}{2}(x - (-2)) + 0$

$y = -\frac{1}{2}(x - (-2))$

$y = -\frac{1}{2}(x +2)$

$y = -\frac{1}{2}x -\frac{1}{2}*2$

$y = -\frac{1}{2}x -1$

See attachment for graph

4 0

3 years ago

Read 2 more answers

Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2).

erma4kov [3.2K]

Answer:

- 3

Step-by-step explanation:

$f(x) = 2 {x}^{3} - 6x + 1 \\ plugging \: x = - 2 \\ f( - 2) = 2( { - 2})^{3} - 6( - 2)+ 1 \\ = 2 \times ( - 8) + 12 + 1 \\ = - 16 + 13 \\ = - 3 \\ f( - 2) = - 3$

7 0

4 years ago

Given f(2) = 12, which of the following could be an equation of the function?

sergiy2304 [10]

Answer is B. f(x) = 4x + 4 When we use x=2 in this function f(2) = 4(2) + 4 f(2)= 8 + 4 f(2) = 12 So the answer is B.

8 0

3 years ago

HELPPPP ME IM THE WORST IN MATH -_-

Vlada [557]

Okay so what we know is that there are 6 sides.
—————-————————————————————

3separate groups have the same measurements. So really 3 groups of 2 that have the same measurements.
—————————————————————
2 sides are 3*2 —————>an area of 6
2 sides are 3*2—————>an area of 6
2 sides are 2*2—————>an area of 4
—————————————————————so, we add those #s up and get 6+6+4 which equals 16 as your answer.

7 0

3 years ago

Express tan M as a fraction in simplest terms. Help please

kirza4 [7]

Answer:

tan M = $\frac{24}{7}$