Mister Exam

Other calculators

Derivative of sinh(7*y+1)+5*y^3+7*y^(1/2)+1

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
                   3       ___    
sinh(7*y + 1) + 5*y  + 7*\/ y  + 1
$$\left(7 \sqrt{y} + \left(5 y^{3} + \sinh{\left(7 y + 1 \right)}\right)\right) + 1$$
sinh(7*y + 1) + 5*y^3 + 7*sqrt(y) + 1
The graph
The first derivative [src]
                      2      7   
7*cosh(7*y + 1) + 15*y  + -------
                              ___
                          2*\/ y 
$$15 y^{2} + 7 \cosh{\left(7 y + 1 \right)} + \frac{7}{2 \sqrt{y}}$$
The second derivative [src]
                            7   
30*y + 49*sinh(1 + 7*y) - ------
                             3/2
                          4*y   
$$30 y + 49 \sinh{\left(7 y + 1 \right)} - \frac{7}{4 y^{\frac{3}{2}}}$$
The third derivative [src]
                           21  
30 + 343*cosh(1 + 7*y) + ------
                            5/2
                         8*y   
$$343 \cosh{\left(7 y + 1 \right)} + 30 + \frac{21}{8 y^{\frac{5}{2}}}$$