f'(x) = (4 arctan(7x))'
f'(x) = 4 (arctan(7x))'
By the chain rule,
f'(x) = 4/(1 + (7x)^2) * (7x)'
f'(x) = 28/(1 + 49x^2)
and hence
f'(4) = 28/(1 + 49*16) = 28/785
In case you're not sure about the derivative of arctan: If y = arctan(x), then x = tan(y). Differentiating both sides with respect to x gives
1 = sec^2y y' = (1 + tan^2y) y' = (1 + x^2) y'
==> y' = 1/(1 + x^2)
Answer:
Step-by-step explanation:
2 triangles area: A = 2(1/2 b x h)
A = 2((6/2) x 4)
A = 2(3 x 4)
A = 2 x 12
A =
2 rectangles on side: A = 2(l x w)
A = 2(5 x 11)
A = 2 x 55
A =
rectangle base: A = l x w
A = 6 x 11
A =
Total surface area = + +
<h3>
= </h3>
Answer:
<em>No</em>
Step-by-step explanation:
y - x = 4 can be rewritten as
y = x + 4
This is the equation of a line, so this equation is linear.
For an equation to be direct variation, it must have the form
y = kx, where k is a number called the constant of proportionality.
If you rewrite y = x + 4 as y = 1x + 4, you still have the 4 there that cannot be in a direct variation equation.
Answer: No,
Answer:
3 is not a like term because it isn't an x term, it doesn't have an x variable while the other terms do.