Answer:
the last one
Step-by-step explanation:
I hope this helps you
(-2x^2). (-5x^2)+(-2x^2)(4x^3)
10x^4-8x^5
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
3. You purchase a car using a $20,000 loan with a 5% simple interest rate.
(a) How much interest do you pay on your loan if you pay off the loan in 4 years? Show your work.
(b) How much interest do you pay on your loan if you pay off the loan in 2 years? Show your work.
(c) How much interest do you save by paying the loan off in 2 years instead of 4? Show your work. Answer:
