Answer: 15e^5x
Step - by - step
y=3e^5x - 2
By the sum rule, the derivative of 3e^5x - 2 with respect to x is d/dx [ 3e^5x ] + d/dx [-2].
d/dx [ 3e^5x ] + d/dx [ -2 ]
Evalute d/dx [ 3e^5x ]
Since 3 is constant with respect to x , the derivative of 3e^5x with respect to x is
3 d/dx [ e^5x ].
3 d/dx [ e^5x ] + d/dx [ -2 ]
Differentiate using the chain rule, which states that d/dx [ f(g(x))] is f' (g(x)) g' (x) where f(x) = e^x and g(x) = 5x.
To apply the Chain Rule, set u as 5x.
3 ( d/du [ e^u] d/dx [5x] ) + d/dx [ -2]
Differentiate using the Exponential rule which states that d/du [ a^u ] is a^u ln(a) where a=e.
3( e^u d/dx[5x] ) + d/dx [ -2 ]
Replace
3(e^5x d/dx [5x] ) + d/dx [ -2 ]
3(e^5x( 5 d/dx [x] )) + d/dx [ -2 ]
Diffentiate using the Power Rule which states that d/dx [x^n] is nx^n-1 where n=1.
3(e^5x(5*1)) + d/dx [-2]
3 ( e^5x * 5 ) + d/dx [-2]
Multiply 5 by 3
15e^5x + d/dx [-2]
Since -2 is constant with respect to x, the derivative of -2 with respect to x is 0.
15e^5x + 0
15e^5x
Answer:
D. None of the choices are correct.
Step-by-step explanation:
If <em>B</em> is the midpoint of AC, then that means that AB is congruent to BC. Because this is true, you can set 8x + 4 and 10x - 8 equal.
8x + 4 = 10x - 8
Now just solve for x. Subtract 8x from both sides and add 8 to both sides.
4 = 2x - 8
12 = 2x
Then divide by 2.
6 = x
Another way to do this problem is to set up the same equation, but instead of solving it, plug in answer choices A, B, and C independently of each other. Then simplify to see if those are right. You'll find out that none of them are.
Answer:
steps below
Step-by-step explanation:
1. It can be formed a triangle: sum of any two sides is greater than the 3rd side
2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²
the triangle is an obtuse-angled triangle if the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)
Answer:
it would be 12x 26y doe to the problem
Answer:
63,000
Step-by-step explanation:
When 981 is rounded to the nearest thousand, it is equal to 1,000. Add this to the remaining number, 62,000, and voila! you get it!
62,000 + 1,000 = 63,000
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