Solve f^4*f^17 | Microsoft Math Solver

Differentiate w.r.t. f

Evaluate

Quiz

Polynomial

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f^{4}\frac{\mathrm{d}}{\mathrm{d}f}(f^{17})+f^{17}\frac{\mathrm{d}}{\mathrm{d}f}(f^{4})

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.

f^{4}\times 17f^{17-1}+f^{17}\times 4f^{4-1}

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}.

f^{4}\times 17f^{16}+f^{17}\times 4f^{3}

Simplify.

17f^{4+16}+4f^{17+3}

To multiply powers of the same base, add their exponents.

17f^{20}+4f^{20}

Simplify.

f^{21}

To multiply powers of the same base, add their exponents. Add 4 and 17 to get 21.