The derivative of the function is dy/dx = 4()[(sin x) / x + (cos x) (ln x)]
y =
Taking the log of both sides:
ln y = sin x ln = (sin x) * (4 ln x) = 4 (sin x)(ln x)
Now differentiate both sides. On the left you'll need to use the chain rule, and on the right you'll use the product rule:
1/y dy/dx = 4[(sin x) (1/x) + (cos x)(ln x)] = 4 [(sin x) / x + (cos x)(ln x)]
Multiply both sides by y
dy/dx = y * 4 [(sin x) / x + (cos x)(ln x)]
Since y = , we can rewrite this as:
dy/dx = * 4 [(sin x) / x + (cos x)(ln x)]
dy/dx = 4 [(sin x) / x + (cos x)(ln x)]
Chain rule is the formula used to find the derivative of a composite function. Product rule is used to find derivative of products of two or more functions.
Therefore, the derivative of the function y = is dy/dx = 4()[(sin x) / x + (cos x) (ln x)]
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<span>The time period from one moon to the next is called a <span>Month
</span></span>
<span>The period is averagely around 30 days...but we call it a Month. That's the answer. The word Month and Moon are sort of related. Month is simply from one Moon to the next Moon.</span>
Answer:
v = 6.45 10⁻³ m / s
Explanation:
Electric force is
F = q E
Where q is the charge and E is the electric field
Let's use Newton's second law to find acceleration
F- W = m a
a = F / m - g
a = q / m E g
Let's calculate
a = -1.6 10⁻¹⁹ / 9.1 10⁻³¹ (-1.30 10⁻¹⁰) - 9.8
a = 0.228 10² -9.8
a= 13.0 m / s²
Now we can use kinematics, knowing that the resting parts electrons
v² = v₀² + 2 a y
v =√ (0 + 2 13.0 1.6 10⁻⁶)
v = 6.45 10⁻³ m / s
The correct option is D.
Destructive interference is said to occur when two waves superpose in such a way that they cancel each other out. The two waves are usually of equal frequency and opposite phase, the negative displacement of one wave collides with the positive displacement of the other wave, thus cancelling each other out.<span />