find g'(x) when the equation is g(x)=(15x^7+21x^5+12x^3)/3x
g'(x)=
30x^5+28x^3+8x
300
7x=88 (to the nearest tenth)
What is 2.3
300
csc^2 x
What is 1+cot^2 x
300
For y=2sin(x-π). State the amplitude, period, phase shift, vertical, range, and domain.
(By the way, this symbol π means pi)
Amplitude=2 Period=2π Phase Shift=-π
No Vertical Shift Domain=All real numbers
Range=[-2,2]
300
Solve from (0,2π) tan x = -1
(-√2/2)/√2/2... Answer: x = 3π/4, 7π/34
300
How many derivatives rules are there? Name each one.
Multiplication by constant cf --> cf’
Power Rule xn ---> nx^n−1
Sum Rule f + g ---> f’ + g’
Difference Rule f - g ----> f’ − g’
Product Rule fg ---> f g’ + f’ g
Quotient Rule f/g ---> (f’ g − g’ f )/g^2
Reciprocal Rule 1/f ---> −f’/f^2
Chain Rule
(as "Composition of Functions") f º g (f’ º g) × g’
400
log363-log37
Evalute
What is 2
400
1/sin x
What is csc x
400
How do you find the period of the equation, 10cos(3πx)+10?
The period of the equation is 2/3 since the equation is 2π/b where b is the number being multiply by x.
400
2cosx+3=0 Solve for cosx
No solution because -1
400
It is one of the several rules used to calculate the derivative of a function. It can be used to find the derivative of any polynomial function and can be derived by repeated use of the product rule. It states that for every natural number n, the derivative.
What is the power rule?
500
2x^-3/2=16
What is 1/4
500
Explain the law of sine and law of cosine.
Law of sine: sin A/a = sin B/b
Law of cosine: a^2=b^2+c^2-2bc cos A
500
How is the cosine or sine graph relate string instrument?
The period is related to the frequency of a wavelength, and depending on how long or short the period it affects the pitch of the music. Higher frequency means higher pitch, and lower frequency means lower pitch.