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Find dy/dx y=e^(-8x)sin(x)
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Solution:
Step 1:
Take the derivative of both sides with respect to $x$: $\frac{d}{dx}(y… |
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Find dy/dx y=e^(-7x)sin(x)
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Solution:
Step:1
Apply differentiation to both sides of the equation $y = e^{-7x}\sin(x)$:… |
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Find dy/dx y=x^(- square root of 11)
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Solution:
Step:1
Transform the radical expression $\sqrt{11}$ into an exponent by applyin… |
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Find dy/dx 4x^3+7y^3=11xy
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Solution:
Step:1
Apply differentiation to both sides of the given equation: $\frac{d}{dx}(… |
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Find dy/dx 4x^3+x^2y-xy^3=1
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Solution:
Step:1
Apply the derivative operator to both sides of the equation: $\frac{d}{dx… |
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Find dy/dx 6x^2+y^2=5
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Solution:
Step:1
Apply differentiation to both sides of the given equation with respect to… |
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Find dy/dx 6x^3+5y^3=11xy
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Solution:
Step 1:
Take the derivative of both sides with respect to $x$: $\frac{d}{dx}(6… |
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Find dy/dx y=3^( square root of x)
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Solution:
Step 1:
Rewrite the given function using the property that $\sqrt[n]{a^{x}} = … |
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Find dy/dx y = square root of x(x-2)
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Solution:
Step:1
Convert the square root into an exponent using the rule $\sqrt[n]{a^{x}} … |
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Find dy/dx y=8-x^3
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Solution:
Step 1:
Apply the differentiation operator $\frac{d}{dx}$ to both sides of the… |
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Find dy/dx y=7x^3
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Solution:
Step:1
Apply differentiation to each term of the equation $y = 7x^3$ with respect to… |
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Evaluate the Summation sum from i=1 to 5 of 6 squ…
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Solution:
Step 1: Expansion of the Summation
Write out the terms of the summation for eac… |
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Evaluate the Summation sum from i=1 to 5 of 5 squ…
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Solution:
Step 1: Write out the terms of the summation
List each term of the summation by … |
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Evaluate the Summation sum from i=1 to 6 of 5
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Solution:
Step 1:
Identify the formula for the sum of a constant over a range: $\sum_{i … |
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Evaluate the Summation sum from i=1 to 6 of 2-i-i…
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Solution:
Step 1: Decompose the given summation into individual summations.
$\sum_{i = 1… |
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Evaluate the Summation sum from k=2 to 6 of 4k+3
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Solution:
Step 1:
Write out the terms of the summation for each integer value of $k$ fro… |
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Evaluate the Summation sum from k=2 to 6 of k^2+5
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Solution:
Step 1: Expansion of the Series
List out each term of the series by substitutin… |
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Evaluate the Summation sum from k=5 to 13 of (5-2…
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Solution:
Step 1:
Adjust the summation's starting index to 1 by separating the original … |
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Evaluate the Summation sum from k=5 to 20 of k^3
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Solution:
Step 1:
Adjust the summation to start from $k=1$ instead of $k=5$.
$$\sum_{k=… |
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Find the Critical Points y=x^2e^(-x)
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Solution:
Step:1
Find the first derivative.
Step:1.1
Calculate the derivati… |