188
4x11 + 5 x 28 + 4
44 + 140 + 4
188
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.
We then multiply everything together to simplify:
sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes
3x^2 * sin(x^3)/(cos(x^3))^2
and multiplying the constant 7 from the beginning:
7 * 3x^2 = 21x^2, so...
our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2
The answer is 3 square units
Answer:
Step-by-step explanation:
Given
Required
Find r
From the question, we understand that G is a point between D and M:
This implies that:
Substitute values for DM, DG and GM
Collect Like Terms
Solve for r
Answer: 191.75 quarts.
Step-by-step explanation:
We know that:
1 quart = 4 cups.
Then:
1 cup = 1/4 quarts.
this means that 1 cup, is equal to 1/4 quarts.
Then 767 cups is equal to 767 times 1/4 quarts.
The change of units is simply:
767 cups = 767*( 1/4 quarts) = 191.75 quarts.
