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Mathematics, 15.12.2021 04:50 valenzueladomipay09u

Quickly! Please solve all correctly! Will give 100 points! 1. If ,then what is $\frac{d^2y}{dx^2}$ at (3, 8)?
2. If $f(x)=2x^\frac{5}{3}$ , what is the instantaneous rate of change of f(x) at x = 8?
3. Let . Which of the following is the value of $\frac{d}{dx}(f^-^1(3))$ ?
4. The position of a particle moving along a coordinate plane is $s=\sqrt{1+5t}$ , with s in meters and t ins seconds. What is the particle's velocity when t= 3 sec ?
5. If , what is the slope of the tangent line of f(x) at x=0?
6. Let . Which expression represents $\frac{d^2y}{dx^2}$ ?
7. If $y=2^{x^2+2}$ , which of the following gives the slope of the tangent line for all values of x?
8. Let f(x)=(4x+8x ln(2)) . For all values a for which the function is defined, what is the instantaneous rate of change at x=a ?
9. Let f(x)= . Which expression gives $\frac{d}{dx}(f^-^1(x))$ ?

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