What y value for the point (7, y) makes the equation y = 2x + 1 true?
1 answer:
You might be interested in
Answer:
<h3>The slope is -1.</h3>Step-by-step explanation:
To find an equation of the line that passes through the points, you have to use the slope formula.
Slope:
y2=3
y1=(-2)
x2=(-1)
x1=4
Solve.
3--2/-1-4=5/-5=-1
The slope is -1.
To find f'(3) (f prime of 3), you must find f' first. f' is the derivative of the function f(x).
Finding the derivative of f(x) = 2x⁴ requires the use of the power rule.
The power rule for derivatives is . In other words, you bring the exponent forward and multiply it by the coefficient of the term, and then you subtract 1 from the original exponent.
f'(x) = (2x⁴)
f'(x) = 2(4)x³
f'(x) = 8x³
Now, to find f'(3), plug 3 into your derivative.
f'(3) = 8(3)³
f'(3) = 216
<h3>Answer:</h3>f'(3) = 216