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Find the derivative of $10^{\left(\sqrt[4]{x^2}-1\right)}$

Step-by-step Solution

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Final answer to the problem

$\frac{\ln\left(10\right)10^{\left(\sqrt{x}-1\right)}}{2\sqrt{x}}$
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Step-by-step Solution

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$\frac{d}{dx}\left(10^{\left(\sqrt{x}-1\right)}\right)$

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(10^{\left(\sqrt{x}-1\right)}\right)$

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Learn how to solve differential calculus problems step by step online. Find the derivative of 10^(x^2^1/4-1). Simplifying. Applying the derivative of the exponential function. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-1) is equal to zero.

Final answer to the problem

$\frac{\ln\left(10\right)10^{\left(\sqrt{x}-1\right)}}{2\sqrt{x}}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Find the derivativeFind derivative of 10^(x^2^0.25-1) using the product ruleFind derivative of 10^(x^2^0.25-1) using the quotient ruleFind derivative of 10^(x^2^0.25-1) using logarithmic differentiationFind derivative of 10^(x^2^0.25-1) using the definition

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Plotting: $\frac{\ln\left(10\right)10^{\left(\sqrt{x}-1\right)}}{2\sqrt{x}}$

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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

How to improve your answer:

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

Used Formulas

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