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3 years ago

Find the derivative of sin4x by first principal

Mathematics

1 answer:

lyudmila [28]3 years ago

5 0

Answer:

If y = sin(4x)

y' = 4cos(4x)

Step-by-step explanation:

lim [ f'(x) = f(x+h) - f(x) / h ]

h → 0

sin'(x) = sin(x+ε) - sin(x) / ε

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3 years ago

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Find the sum of the equation

stealth61 [152]

Answer:

$\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}$

Step-by-step explanation:

1) Rewrite ${y}^{2}-2y+1y$ in the form ${a}^{2}-2ab+{b}^{2}$ , where a = y and b = 1.

$\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}$

2) Use Square of Difference: ${(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$ .

$\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}$

3) Factor ${y}^{2}+6y-7$ .

1 - Ask: Which two numbers add up to 6 and multiply to -7?

-1 and 7

2 - Rewrite the expression using the above.

$(y-1)(y-7)$

Outcome/Result: $\frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}$

4) Rewrite the expression with a common denominator.

$\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}$

5) Expand.

$\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}$

6) Collect like terms.

$\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}$

7) Simplify ${y}^{2}+(7y+6y)-6y$ to ${y}^{2}+13y-6y$

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2 years ago

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A triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters. The height of the prism is

BartSMP [9]

Answer:

it should be D

Step-by-step explanation:

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3 years ago

PLS HELP ME ASAP FOR 7, 8, and 10!! (MUST SHOW WORK!!) + LOTS OF POINTS!) *GIVE THANKS!!*

marissa [1.9K]

I believe #7 is D
#8 B
#10 B

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3 years ago

Find the derivative of sin4x by first principal​

Find the derivative of sin4x by first principal