Problem 5
\(\mathrm{T} / \mathrm{F}: \frac{d x}{d y}=\frac{d x}{d t} \cdot \frac{d t}{d y}\)
Problem 6
In your own words, explain what it means to make your answers "clear."
Problem 6
Explain in your own words how to find the third derivative of a function \(f(x)\).
Problem 6
Compute the derivative of the given function. $$f(x)=\sqrt[3]{x}+x^{2 / 3}$$
Problem 6
Given \(z(25)=187\) and \(z^{\prime}(25)=17\), approximate \(z(20)\).
Problem 6
If two lines are perpendicular, what is true of their slopes?
Problem 7
Compute the derivative of the given function. $$f(t)=\sqrt{1-t^{2}}$$
Problem 7
(a) Use the Product Rule to differentiate the function. (b) Manipulate the function algebraically and differentiate without the Product Rule. (c) Show that the answers from (a) and (b) are equivalent. $$f(x)=x\left(x^{2}+3 x\right)$$
Problem 7
Compute the derivative of the given function. $$f(x)=\left(4 x^{3}-x\right)^{10}$$
Problem 7
Use the definition of the derivative to compute the derivative of the given function. $$f(x)=6$$
