Practice problem
Find the derivative of y=xsinh(x3)y=x\sinh\bigg(\frac{x}3\bigg)y=xsinh(3x)
y′=sinh(x3)+cosh(x3)y'=\sinh\left(\frac{x}3\right)+\cosh\left(\frac{x}3\right)y′=sinh(3x)+cosh(3x)
y′=sinh(x3)+xcosh(x3)y'=\sinh\left(\frac{x}3\right)+x\cosh\left(\frac{x}3\right)y′=sinh(3x)+xcosh(3x)
y′=sinh(x3)+13xcosh(x3)y'=\sinh\left(\frac{x}3\right)+\frac13x\cosh\left(\frac{x}3\right)y′=sinh(3x)+31xcosh(3x)
y′=13xcosh(x3)y'=\frac13x\cosh\left(\frac{x}3\right)y′=31xcosh(3x)
Type a concept, like “slope” or “photosynthesis”.
