Find the derivative of $\left(8-a\right)^2=a^2- 4^2$ using the definition

Step-by-step Solution

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Final answer to the problem

$2a$
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Step-by-step Solution

How should I solve this problem?

  • Find the derivative using the definition
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
  • Load more...
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1

Calculate the power $4^2$

$derivdef\left(a^2- 16\right)$

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$derivdef\left(a^2- 16\right)$

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Learn how to solve problems step by step online. Find the derivative of (8-a)^2=a^2-4^2 using the definition. Calculate the power 4^2. Multiply -1 times 16. Find the derivative of a^2-16 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is a^2-16. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(a^2-16\right).

Final answer to the problem

$2a$

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Function Plot

Plotting: $2a$

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Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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