Power Rule
Find the derivative of :
y = 1/x^5
dy/dx=-5/x^6
g(x) = 2e^x (sqrtx)
g'(x) = 2e^xsqrtx+e^x/(sqrtx)
Find the derivative
h(x) = (2-x)/(x+2)
h'(x) = -4/((x+2)^2
What's the name of the first Scottish Princess?
Merida
What country has the largest population?
China (1.42 Billion)
Find
dy/dx of : y=x^e
dy/dx = ex^(e-1)
Find the derivative.
g(x) = x^2sin(x)
g'(x) = 2xsin(x) + x2 cost (x)
Find the derivative
y = (2x^2)/(3x+1
dy/dx = (6x^2+4x)/(3x+1)^2
What Disney princess is based on an actual person?
Pocahontas
Mathematically what is December 16, 2020 (12/16/20) known for?
Pythagorean Theorem Day
f(x) = 1/x^4 What is f'(2)
f'(2) = -1/8
d(t) = 3sqrtxlnt
d'(t) = (3ln(t))/(2sqrtt)+(3sqrtt)/t
Find the derivative
f(x) = (3x^4-2x^2-3sqrtx)/x
f'(x) = 9x^2-2+3/2x^(-3/2)
Who is the oldest Disney princess?
Elsa, she's 21
Who is the FIRST strongest Avenger?
The Hulk
What is the equation of the tangent line
y = x^3 at x = -2
y + 8 = 12(x+2)
Find the derivative.
f(x) = 8xsinx
f'(x) = 8sinx +8x cosx
Find the derivative
g(x) = (2x^5)/(cosx
g'(x) = (10x^4cosx +2x^5 sinx)/cos^2x
What 3 princesses were married into Royalty?
Belle, Cinderella, and Tiana
How many brains does an octopus have?
Nine
Find the derivative.
f(x) = 3sqrtx-6/x^2+5pi^3
f'(x) = 3/(2sqrtx)+12/x^3
Find the equations of the tangent line at the given x-value
f(x) = 8sinxcosx at x = pi/3
y-2sqrt3 = -4(x-pi/3)
Find the derivative
y = (e^x)/(4sinx)
dy/dx = (e^x (sinx-cosx))/(4sin^2x
What Disney star has her own name on the Hollywood Walk of Fame?
Snow White
What should you be doing over winter break?
Finishing up all of Unit 2 Mastery Checks and taking the Unit 2 test.