Final answer to the problem
$1-4\ln\left(2\right)\cdot 2^{4x}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
The derivative of a sum of two or more functions is the sum of the derivatives of each function
$1+\frac{d}{dx}\left(- 2^{4x}\right)$
Learn how to solve sum rule of differentiation problems step by step online.
$1+\frac{d}{dx}\left(- 2^{4x}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(x-2^(4x)) 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 a function multiplied by a constant is equal to the constant times the derivative of the function. Applying the derivative of the exponential function. The derivative of the linear function times a constant, is equal to the constant.
Final answer to the problem
$1-4\ln\left(2\right)\cdot 2^{4x}$
