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DiKsa [7]
3 years ago
13

5/2x-3 is this a monomial, binomial, or trinomial

Mathematics
1 answer:
Serga [27]3 years ago
6 0
Its a binomial. There are two terms


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The derivative of y with respect to x, when y = 3e^5x - 2 is:
Ede4ka [16]
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
5 0
8 months ago
The product of which expression contains four decimal places?​
dalvyx [7]

Answer: we need to see the problem

Step-by-step explanation:

3 0
3 years ago
Please help. Thank you
madam [21]

Answer:

c

Step-by-step explanation:

Pythagoras theroem

\sqrt{(( {32}^{2})  + {12}^{2} ) }

= 4√73

8 0
2 years ago
Please answer this correctly without making mistakes my work is due today
Misha Larkins [42]

Answer:

24.24

Step-by-step explanation:

brainlist plzzzzzzzzzzz

8 0
3 years ago
Three Less Than Is<br> Number 15
S_A_V [24]

Answer:12

Step-by-step explanation:

15-3=12

5 0
3 years ago
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