Given
<em>e</em> ˣʸ = sec(<em>x</em> ²)
take the derivative of both sides:
d/d<em>x</em> [<em>e</em> ˣʸ] = d/d<em>x</em> [sec(<em>x</em> ²)]
Use the chain rule:
<em>e</em> ˣʸ d/d<em>x</em> [<em>xy</em>] = sec(<em>x</em> ²) tan(<em>x</em> ²) d/d<em>x</em> [<em>x</em> ²]
Use the product rule on the left, and the power rule on the right:
<em>e</em> ˣʸ (<em>x</em> d<em>y</em>/d<em>x</em> + <em>y</em>) = sec(<em>x</em> ²) tan(<em>x</em> ²) (2<em>x</em>)
Solve for d<em>y</em>/d<em>x</em> :
<em>e</em> ˣʸ (<em>x</em> d<em>y</em>/d<em>x</em> + <em>y</em>) = 2<em>x</em> sec(<em>x</em> ²) tan(<em>x</em> ²)
<em>x</em> d<em>y</em>/d<em>x</em> + <em>y</em> = 2<em>x</em> <em>e</em> ⁻ˣʸ sec(<em>x</em> ²) tan(<em>x</em> ²)
<em>x</em> d<em>y</em>/d<em>x</em> = 2<em>x</em> <em>e</em> ⁻ˣʸ sec(<em>x</em> ²) tan(<em>x</em> ²) - <em>y</em>
d<em>y</em>/d<em>x</em> = 2<em>e</em> ⁻ˣʸ sec(<em>x</em> ²) tan(<em>x</em> ²) - <em>y</em>/<em>x</em>
Since <em>e</em> ˣʸ = sec(<em>x</em> ²), we simplify further to get
d<em>y</em>/d<em>x</em> = 2 tan(<em>x</em> ²) - <em>y</em>/<em>x</em>
Answer:
product, sum, difference, quotient
Step-by-step explanation:
product is the answer to a multiplication question
sum is the answer to an addition question
difference is the answer to a subtraction question
quotient is the answer to a division question
Answer:
25
Step-by-step explanation:
divide 48 by 4 which is 25%
The reciprocal is 66 your welcome for my own help
The steps in construction angle bisector and perpendicular bisector are shown in the diagram below.
The first diagram is for angle bisector and the second diagram is for the perpendicular bisector.