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 h ( x ) = x 2 arcsin ( 2 x ) h(x)=x^{2}\arcsin(2x) h ( x ) = x 2 arcsin ( 2 x ) h ′ ( x ) h'(x) h ′ ( x ) 2 x arcsin ( 2 x ) + x 2 1 − 4 x 2 2x\arcsin(2x)+\dfrac{x^{2}}{\sqrt{1-4x^{2}}} 2 x arcsin ( 2 x ) + 1 − 4 x 2 x 2 arcsin ( 2 x ) + 2 x 1 − 4 x 2 \arcsin(2x)+\dfrac{2x}{\sqrt{1-4x^{2}}} arcsin ( 2 x ) + 1 − 4 x 2 2 x 2 x arcsin ( 2 x ) + 2 x 2 1 − 4 x 2 2x\arcsin(2x)+\dfrac{2x^{2}}{\sqrt{1-4x^{2}}} 2 x arcsin ( 2 x ) + 1 − 4 x 2 2 x 2 2 x arcsin ( 2 x ) + 2 x 2 1 + 4 x 2 2x\arcsin(2x)+\dfrac{2x^{2}}{\sqrt{1+4x^{2}}} 2 x arcsin ( 2 x ) + 1 + 4 x 2 2 x 2 Browse the problem library