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Problem Let h ( x ) = [ sec ( 5 x + 1 ) ] 3 h(x)=\bigl[\sec\bigl(\sqrt{5x+1}\,\bigr)\bigr]^3 h ( x ) = [ sec ( 5 x + 1 ) ] 3 h ′ ( x ) h'(x) h ′ ( x ) 15 2 5 x + 1 sec 2 ( 5 x + 1 ) tan ( 5 x + 1 ) \dfrac{15}{2\sqrt{5x+1}}\,\sec^{2}\!\bigl(\sqrt{5x+1}\bigr)\tan\!\bigl(\sqrt{5x+1}\bigr) 2 5 x + 1 15 sec 2 ( 5 x + 1 ) tan ( 5 x + 1 ) 15 2 sec 3 ( 5 x + 1 ) tan ( 5 x + 1 ) \dfrac{15}{2}\,\sec^{3}\!\bigl(\sqrt{5x+1}\bigr)\tan\!\bigl(\sqrt{5x+1}\bigr) 2 15 sec 3 ( 5 x + 1 ) tan ( 5 x + 1 ) 15 2 5 x + 1 sec 3 ( 5 x + 1 ) tan ( 5 x + 1 ) \dfrac{15}{2\sqrt{5x+1}}\,\sec^{3}\!\bigl(\sqrt{5x+1}\bigr)\tan\!\bigl(\sqrt{5x+1}\bigr) 2 5 x + 1 15 sec 3 ( 5 x + 1 ) tan ( 5 x + 1 ) 5 2 5 x + 1 sec 3 ( 5 x + 1 ) tan ( 5 x + 1 ) \dfrac{5}{2\sqrt{5x+1}}\,\sec^{3}\!\bigl(\sqrt{5x+1}\bigr)\tan\!\bigl(\sqrt{5x+1}\bigr) 2 5 x + 1 5 sec 3 ( 5 x + 1 ) tan ( 5 x + 1 ) Browse the problem library