Quiz 3. Higher Order Derivatives & Implicit Differentiation

Find f"'(x) when

f(x)=10x⁵ +3x⁴ -5x³ +2x² -10x+6

• 200x³+36x² -30x+4

• 600x² +72x -26

• 600x² +72x -30

• 600x² +72x -36

Find the 3rd derivative if

 $y=3x^4-12x^3+11x^2-8x+10$  

•  $\frac{d^3y}{dx^3}=36x^2-72x+22$  

•  $\frac{d^3y}{dx^3}=12x^3-36x^2+22x-8$  

•  $\frac{d^3y}{dx^3}=72x\ -\ 72$  

•  $\frac{d^3y}{dx^3}=72$  

•  $\frac{d^3y}{dx^3}=0$  

Find the 15th derivative if

 $y=3x^4-12x^3+11x^2-8x+10$  

•  $\frac{d^{15}y}{dx^{15}}=36x^2-72x+22$  

•  $\frac{d^{15}y}{dx^{15}}=12x^3-36x^2+22x-8$  

•  $\frac{d^{15}y}{dx^{15}}=72x\ -\ 72$  

•  $\frac{d^{15}y}{dx^{15}}=72$  

•  $\frac{d^{15}y}{dx^{15}}=0$  

Find the second derivative of f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx

If    $y=-8\sin x$ , what is    $\frac{\text{d}^2y}{\text{d}x^2}$   ?

•  $\frac{\text{d}^2y}{\text{d}x^2}=-8\cos x$  

•  $\frac{\text{d}^2y}{\text{d}x^2}=8\sin x$  

•  $\frac{\text{d}^2y}{\text{d}x^2}=8\cos x$  

•  $\frac{\text{d}^2y}{\text{d}x^2}=-8\sin x$  

If    $y=-8\sin x$ , what is    $\frac{\text{d}^{39}y}{\text{d}x^{39}}$   ?

•  $\frac{\text{d}^{39}y}{\text{d}x^{39}}=-8\cos x$  

•  $\frac{\text{d}^{39}y}{\text{d}x^{39}}=8\sin x$  

•  $\frac{\text{d}^{39}y}{\text{d}x^{39}}=8\cos x$  

•  $\frac{\text{d}^{39}y}{\text{d}x^{39}}=-8\sin x$  

Tags

CCSS.HSF.TF.C.9

If    $y=-8\sin x$ , find    $\frac{dy}{dx}\ \ +\frac{d^3y}{dx^3}\$ ?

•  $\frac{dy}{dx}\ \ +\frac{d^3y}{dx^3}\ =8\cos x-8\sin x$  

•  $\frac{dy}{dx}\ \ +\frac{d^3y}{dx^3}\ =8\sin x+8\cos x$  

•  $\frac{dy}{dx}\ \ +\frac{d^3y}{dx^3}\ =0$  

•  $\frac{dy}{dx}\ \ +\frac{d^3y}{dx^3}\ =8\sin x-8\cos x$  

Tags

CCSS.HSA-REI.B.4B

Find the 77th Derivative of

 $y=8\sin x-12\cos x$  

•  $\frac{d^{77}y}{dx^{77}}=8\sin x-12\cos x$  

•  $\frac{d^{77}y}{dx^{77}}=8\cos x+12\sin x$  

•  $\frac{d^{77}y}{dx^{77}}=-8\sin x+12\cos x$   $\frac{d^{77}y}{dx^{77}}=-8\cos x-12\sin x$  

Find the 84th Derivative of

 $y=8\sin x-12\cos x$  

•  $\frac{d^{84}y}{dx^{84}}=8\sin x-12\cos x$  

•  $\frac{d^{84}y}{dx^{84}}=8\cos x+12\sin x$  

•  $\frac{d^{84}y}{dx^{84}}=-8\sin x+12\cos x$   $\frac{d^{84}y}{dx^{84}}=-8\cos x-12\sin x$  

If  $y=3\sin x+4\cos x$ ,  what is $\frac{\text{d}^{120}y}{\text{d}x^{120}}$  ?

•  $\frac{\text{d}^{120}y}{\text{d}x^{120}}=3\cos x-4\sin x$  

•  $\frac{\text{d}^{120}y}{\text{d}x^{120}}=-3\sin x-4\cos x$  

•  $\frac{\text{d}^{120}y}{\text{d}x^{120}}=-3\cos x+4\sin x$  

•  $\frac{\text{d}^{120}y}{\text{d}x^{120}}=3\sin x+4\cos x$  

•  $\frac{\text{d}^{120}y}{\text{d}x^{120}}=4\sin x-3\cos x$