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Find the derivative $\frac{d}{dx}\left(\ln\left(x-7\right)+e^x\right)$ using the sum rule

Step-by-step Solution

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Solution

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Final answer to the problem

$\frac{1}{x-7}+e^x$
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Step-by-step Solution

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Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(ln(x-7)+e^x) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. 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.

Final answer to the problem

$\frac{1}{x-7}+e^x$

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Plotting: $\frac{1}{x-7}+e^x$

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x
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(◻)
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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:

Similar Problems Solved

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$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

$\frac{d}{dx}\left(\arcsin\left(1-2x^2\right)\right)$

Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

Used Formulas

See formulas (4)

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