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hjlf
3 years ago
9

Derivative of (4e)^x

Mathematics
1 answer:
love history [14]3 years ago
6 0

we are given the expression (4e) ^x and is asked to derive the expression. we distribute first the equations resulting to 4^x e^x = y. using the rule of products,
y = 4^x e^xy' =  4^x ln 4 e^x + 4^x e^x
The final answer is y' =  4^x ln 4 e^x + 4^x e^x
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How do I find the inverse of this problem?
raketka [301]

\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Inverse of real function.

Let's consider here, g(n) = y ,

so we get as,

y =  \sqrt[3]{ \frac{n - 1}{2} }

no, cubing the power both side we get as,

=>

{y}^{3}  =  \frac{n - 1}{2}

now,

2 {y}^{3}  = n - 1

so finally, we get as,

=>

n = 2 {y}^{3}  + 1

hence,here, n = inverse of the g(n) function.

so,

g^-1 (n) = 2y^3+1.

7 0
3 years ago
ALGEBRA QUESTION PLS HELPS
cluponka [151]

The value of x is –7.

Solution:

Given expression:

$\left(\frac{1}{x+3}+\frac{6}{x^{2}+4 x+3}\right) \cdot \frac{x+3}{x+1}

Let us factor x^2+4x+3.

x^2+4x+3=(x+1)(x+3)

Substitute this in the fraction.

$\left(\frac{1}{x+3}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

To make the denominator same, multiply and divide the first term by (x +1).

$\left(\frac{(x+1)}{(x+1)(x+3)}+\frac{6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

Denominators are same, you can add the fractions.

$\left(\frac{x+1+6}{(x+1)(x+3)}\right) \cdot \frac{x+3}{x+1}

$\frac{x+7}{(x+1)(x+3)} \cdot \frac{x+3}{x+1}

Cancel the common term in the numerator and denominator.

$\frac{x+7}{x+1} \cdot \frac{1}{x+1}

Multiply the fractions.

$\frac{x+7}{(x+1)^2}

$\frac{x+7}{x^2+2x+1}

The expression is simplified to one rational expression.

Suppose the expression is equal to 0.

$\frac{x+7}{x^2+2x+1}=0

Do cross multiplication.

${x+7}=0\times (}{x^2+2x+1})

Any number or variable multiplied by 0 gives 0.

${x+7}=0

Subtract 7 from both sides of the equation.

${x+7-7}=0-7

x = –7

The value of x is –7.

7 0
3 years ago
Solve the equation.<br><br> −6t−7=17<br> solve for t
Anna71 [15]
-6t-7=17
-6t=24
-t=4
t=-4
8 0
3 years ago
Read 2 more answers
Mr. and mrs.storey drive 3200 miles in all during their vacation. mr.storey drove 3 times as many miles as mrs.storey how many m
vaieri [72.5K]
This can be solve by establishing equations.
let x be the miles mrs. storey drove
y be the miles mr storey drovee
 
the first equation is
y = 3x

second equation
x + y = 3200
then substitute equation 1

x + 3x = 3200
4x = 3200
x = 800 miles mrs storey drove
y = 3x = 2400 miles mr storey drove
5 0
4 years ago
What is it pls help !
Nesterboy [21]

Answer:

I got<u> -8, </u>hope dis helps!

6 0
3 years ago
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