Question 1

Find a positive number for which the graph of the function f(x) =  is tangent to the line y = x.

Accepted Answer

The answer of Find a positive number for which the...

Question 2

Find the slope of the curve  = 2x + y at the point (1, -1).

Accepted Answer

The answer of Find the slope of the curve ...

Question 3

Find the slope of the curve  -  + xy - 1 = 0 at the point (1, 1).

Accepted Answer

The answer of Find the slope of the curve ...

Question 4

Use logarithmic differentiation to find the slope of the line tangent to the curve given by  at the point (0,  ) on the curve.

Accepted Answer

The answer of Use logarithmic differentiation to find the slope...

Question 5

Evaluate the derivative of  .

Accepted Answer

The answer of Evaluate the derivative of  .
...

Question 6

Accepted Answer

The answer of 
...

Question 7

Evaluate .

Accepted Answer

The answer of Evaluate .  
...

Question 8

Evaluate the antiderivative  dx.

Accepted Answer

The answer of Evaluate the antiderivative  dx.
...

Question 9

=  .

Accepted Answer

The answer of   =  ....

Question 10

The acceleration of an object moving on the x-axis is 9  . Find the velocity v if the velocity at time  is 4 units per second.

Accepted Answer

The answer of The acceleration of an object moving on...

Question 11

Find an equation of the line tangent to the curve  -  = 2x at the point (0,1).

Accepted Answer

The answer of Find an equation of the line tangent...

Question 12

Find  if y =  .

Accepted Answer

The answer of Find  if y =  .
...

Question 13

Find y' if y =  .

Accepted Answer

The answer of Find y' if y =  .
...

Question 14

Let f(x) = (2x + 1)(3x + 1)(4x + 1)(5x + 1)(6x + 1). Use logarithmic differentiation to calculate  (0).

Accepted Answer

The answer of Let f(x) = (2x + 1)(3x +...

Question 15

Solve the equation  - 2  = 1 for x.

Accepted Answer

The answer of Solve the equation  - 2 ...

Question 16

Find  (173) if f(x) =  .

Accepted Answer

The answer of Find  (173) if f(x) = ...

Question 17

Evaluate .

Accepted Answer

The answer of Evaluate .  
...

Question 18

The function F(x) = ln  is an antiderivative of the function f(x) =  .

Accepted Answer

The answer of The function F(x) = ln  is...

Question 19

Find the derivative of  .

Accepted Answer

The answer of Find the derivative of  .
...

Question 20

Find the derivative of y = ln(sin x).

Accepted Answer

The answer of Find the derivative of y = ln(sin...

Quiz 4: Transcendental Functions

Find a positive number for which the graph of the function f(x) = is tangent to the line y = x.

Find the slope of the curve = 2x + y at the point (1, -1) .

Find the slope of the curve - + xy - 1 = 0 at the point (1, 1) .

Use logarithmic differentiation to find the slope of the line tangent to the curve given by at the point (0, ) on the curve.

Evaluate the derivative of .

$A) 24 - 19 B) 6 - 1 C) + C, x \neq - D) 10 - 5 E) 6 + C$

Evaluate .

Evaluate the antiderivative dx.

= .

The acceleration of an object moving on the x-axis is 9 . Find the velocity v if the velocity at time is 4 units per second.

Find an equation of the line tangent to the curve - = 2x at the point (0,1) .

Find if y = .

Find y' if y = .

Let f(x) = (2x + 1) (3x + 1) (4x + 1) (5x + 1) (6x + 1) . Use logarithmic differentiation to calculate (0) .

Solve the equation - 2 = 1 for x.

Find (173) if f(x) = .

Evaluate .

The function F(x) = ln is an antiderivative of the function f(x) = .

Find the derivative of .

Find the derivative of y = ln(sin x) .