calc1

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

Find y' if y=e⁴

• 0
• 1
• e³
• 4e³

Find y' if y=e^3x

• e^3x
• e^2x
• 0
• 3e^3x

 $\int\left\{\frac{dx}{^3\sqrt{x^2}}\right\}$  

•  $3^3\sqrt{x}+C$  

•  $3\sqrt{x^3}+C$  

•  $\frac{3^3\sqrt{x}}{6}+C$  

•  $\frac{^3\sqrt{x}}{3}+\ C$  

 $\int_{ }^{ }$  $\left(5x^3+2x^2-6x+3\right)\ dx$  

•  $15x^3+4x^2-6\ +c$  

•  $\frac{5}{4}x^4\ +\frac{2}{3}x^3-3x^2+3x+C$  

•  $5x^2+2x-6+C$