5x(4x^3 + 3x - 2)
There’s a 5 and a x common.
Answer:
Cool
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
We need to find the value of x if the polygons in each pair are similar.
As they are similar, the ratio of their sides are equal.
The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.
So,
So, the value of x is equal to 9.
Answer:
4x³
Step-by-step explanation:
d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?
To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:
Let y = ln (x⁴ + 7)
Let u = (x⁴ + 7)
Therefore,
ln(x⁴ + 7) = ln u
Thus,
y = ln u
dy/du = 1/u
Next, we shall determine du/dx. This is illustrated below:
u = (x⁴ + 7)
du/dx = 4x³
Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:
dy/dx = dy/du × du/dx
dy/du = 1/u
du/dx = 4x³
dy/dx = 1/u × 4x³
But:
u = (x⁴ + 7)
Therefore,
dy/dx = 1/(x⁴ + 7) × 4x³
Thus, the missing expression is 4x³
