Derivative Rules Mastery Quiz V1 (23-24)

Input answers in descending order with no negative exponents.

Let $$f\left(x\right)\ =5x^3-\frac{7}{2}x^2+11x-1$$

$$f'\left(x\right)=$$

Input answers in descending order with no negative exponents.

Let $$f\left(x\right)\ =9\sqrt[3]{x^4}+\frac{3}{x^2}-\frac{10}{\sqrt[]{x}}$$

$$f'\left(x\right)=$$

Input answers in descending order with no negative exponents.

Let $$f\left(x\right)\ =\frac{3x^3+2x^2+x}{\sqrt[]{x}}$$

$$f'\left(x\right)=$$

Input answers in descending order with no negative exponents.

Let $$f\left(x\right)\ =\frac{3x^4+2}{3x^3-2}$$

$$f'\left(x\right)=$$

Input answers in descending order with no negative exponents.

Let $$f\left(x\right)\ =\left(5x^2-3x\right)\left(x^3+6\right)$$

$$f'\left(x\right)=$$

Let $$f\left(x\right)\ =4x^3-6x^2+1$$

Find the largest value of x where $$f\left(x\right)$$ has a horizontal tangent.

Input only the numeric answer.

$$x=$$

Let $$f\left(x\right)\ =-3\sqrt[]{x}$$

Input the equation of the tangent line to $$f\left(x\right)$$ at $$x=16$$

Input the answer in point-slope form.

Let $$g\left(x\right)\ and\ h\left(x\right)$$ be defined by the tables provided.

Let $$f\left(x\right)\ =3g\left(x\right)-10h\left(x\right)-x^2$$

Input only the numeric answer.
$$f'\left(3\right)=$$

Let $$g\left(x\right)\ and\ h\left(x\right)$$ be defined by the tables provided.

Let $$f\left(x\right)\ =g\left(x\right)h\left(x\right)$$

Input only the numeric answer.
$$f'\left(-2\right)=$$

Let $$g\left(x\right)\ and\ h\left(x\right)$$ be defined by the tables provided.

Let $$f\left(x\right)\ =\frac{h\left(x\right)}{2g\left(x\right)}$$

Input only the numeric answer.
$$f'\left(-2\right)=$$