Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Let . Determine…
MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem Let f ( x ) = ( cos ( 5 x 2 ) ) 3 f(x)=\bigl(\cos(5x^{2})\bigr)^{3} f ( x ) = ( cos ( 5 x 2 ) ) 3 f ′ ( x ) f'(x) f ′ ( x ) − 10 x ( cos ( 5 x 2 ) ) 2 sin ( 5 x 2 ) -10x\,(\cos(5x^{2}))^{2}\sin(5x^{2}) − 10 x ( cos ( 5 x 2 ) ) 2 sin ( 5 x 2 ) − 30 x ( cos ( 5 x 2 ) ) 2 sin ( 5 x 2 ) -30x\,(\cos(5x^{2}))^{2}\sin(5x^{2}) − 30 x ( cos ( 5 x 2 ) ) 2 sin ( 5 x 2 ) 30 x ( cos ( 5 x 2 ) ) 2 sin ( 5 x 2 ) 30x\,(\cos(5x^{2}))^{2}\sin(5x^{2}) 30 x ( cos ( 5 x 2 ) ) 2 sin ( 5 x 2 ) − 30 x cos ( 5 x 2 ) sin ( 5 x 2 ) -30x\,\cos(5x^{2})\sin(5x^{2}) − 30 x cos ( 5 x 2 ) sin ( 5 x 2 ) Browse the problem library