In this case there will be 2 solutions to solve for in this equation, both will equal plus and minus the answer. Which is 14.
6(3x + 5) = +_ 14
The solutions will be the following :
(14/6 - 5)/3
(-14/6 - 5)/3.
If from the negative to the positive side, count how many dots are in between and add together. So it is 6 units apart or 6 dots apart.
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
See attached image for work.
Answer:
B
Step-by-step explanation:
Y look like it's close to 90 degrees.
