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Derivative of y=tg^2*7x+3x^2+8

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

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The solution

You have entered [src]
   2           2    
tan (7)*x + 3*x  + 8
$$3 x^{2} + x \tan^{2}{\left(7 \right)} + 8$$
d /   2           2    \
--\tan (7)*x + 3*x  + 8/
dx                      
$$\frac{d}{d x} \left(3 x^{2} + x \tan^{2}{\left(7 \right)} + 8\right)$$
Detail solution
  1. Differentiate term by term:

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    3. The derivative of the constant is zero.

    The result is:


The answer is:

The first derivative [src]
   2         
tan (7) + 6*x
$$6 x + \tan^{2}{\left(7 \right)}$$
The second derivative [src]
6
$$6$$
The third derivative [src]
0
$$0$$