Practice problem
Find the derivative. f(x)=34x5f(x)=3^{4^{x^5}}f(x)=34x5
f′(x)=6016x5x5f'(x)=60^{16x^{5x^5}}f′(x)=6016x5x5
f′(x)=5x4ln(12)⋅34x5⋅4x5f'(x)=5x^4\ln(12)\cdot3^{4^{x^5}}\cdot4^{x^5}f′(x)=5x4ln(12)⋅34x5⋅4x5
f′(x)=5x4⋅34x5⋅4x5f'(x)=5x^4\cdot3^{4^{x^5}}\cdot4^{x^5}f′(x)=5x4⋅34x5⋅4x5
f′(x)=5x4ln(3)ln(4)⋅34x5⋅4x5f'(x)=5x^4\ln(3)\ln(4)\cdot3^{4^{x^5}}\cdot4^{x^5}f′(x)=5x4ln(3)ln(4)⋅34x5⋅4x5
Type a concept, like “slope” or “photosynthesis”.
