Skip to main content
Evaluate
Tick mark Image
Differentiate w.r.t. x
Tick mark Image
Graph

Similar Problems from Web Search

Share

x^{\frac{4}{5}}x+4x^{\frac{4}{5}}
Use the distributive property to multiply x^{\frac{4}{5}} by x+4.
x^{\frac{9}{5}}+4x^{\frac{4}{5}}
To multiply powers of the same base, add their exponents. Add \frac{4}{5} and 1 to get \frac{9}{5}.
x^{\frac{4}{5}}\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}+4)+\left(x^{1}+4\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{\frac{4}{5}})
For any two differentiable functions, the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.
x^{\frac{4}{5}}x^{1-1}+\left(x^{1}+4\right)\times \frac{4}{5}x^{\frac{4}{5}-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
x^{\frac{4}{5}}x^{0}+\left(x^{1}+4\right)\times \frac{4}{5}x^{-\frac{1}{5}}
Simplify.
x^{\frac{4}{5}}x^{0}+x^{1}\times \frac{4}{5}x^{-\frac{1}{5}}+4\times \frac{4}{5}x^{-\frac{1}{5}}
Multiply x^{1}+4 times \frac{4}{5}x^{-\frac{1}{5}}.
x^{\frac{4}{5}}+\frac{4}{5}x^{1-\frac{1}{5}}+4\times \frac{4}{5}x^{-\frac{1}{5}}
To multiply powers of the same base, add their exponents.
x^{\frac{4}{5}}+\frac{4}{5}x^{\frac{4}{5}}+\frac{16}{5}x^{-\frac{1}{5}}
Simplify.