In: Math

Find the Derivative of the f(x)

Using the power rule and chain rule for derivatives subtract the exponent by 1 and the contsant to the front of the parentheses then proceed to do the same to the inside of the parentheses using the chain rule so what you derive inside of the parentheses doesnt change. (4x^7)^5=5(4x^7)^5-1=5(4x^7)^4. then do the inside of the parentheses. 5(4x^7)^4 *28x^6=5*28^6(4x^7)=140x^6(4x^7) so the final answer is f'(x)=140x^6(4x^7)

140x^6(4x^7)^4

Find f'(x)

if f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x)
(a) Find u'(1)
(b) Find v'(5).

Let P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown.(a) Find P ' (2)(b) Find Q ' (7)

If \(f(x)=e^{x} g(x),\) where \(g(0)=3\) and \(g(0)=4,\) find \(f(0)\)

Find equations of the tangent lines to the curve y = (x-1)/(x+1) that are parallel to the line x − 2y = 5.

Y varies directly as the square of x. If y = 144 when x = 6, what is the value of ywhen x = 3

(Figure 1) shows the angular position of a potter's wheel.
Part A What is the angular displacement of the wheel between t = 5 s and t = 15 s? Express your answer in radians.
Part B What is the angular velocity of the wheel at 15 s? Express your answer in radians per second.
Part C What is the maximum speed of a point on the outside of the wheel 15 cm from the axle? Express

Use equations 7 and 8 to determine the angle θ (in degrees) if the two positions of the first order spectral line are 35.0 cm and 65.0 cm. Assume the distance from the diffraction grating to the slit is 55 cm.Equation 7: s= .5 (xr-xl)
Equation 8: tan? = s/L

Consider a 5% 1 year to maturity coupon bond with a face value of $100. If the price of the bond is $90, what is the yield to maturity?

Practice Problem 50
A tRNA anticodon is 5' GAA 3'. Answer the following questions.
Part A
Which one of the following codons is recognized by this tRNA?
Which one of the following codons is recognized by this tRNA?
5' UUC 3'
5' CTT 3'
5' CUU 3'
5' TTC 3'
Part B
The first base at the 5' end of the anticodon has relaxed base-pairing rules allowing some tRNAs to bind multiple codon sequences. This is...