Mister Exam

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The derivative of the function/ tan4*(x-5)

Derivative of tan4*(x-5)

The solution

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tan(4)*(x - 5)

$$\left(x - 5\right) \tan{\left(4 \right)}$$

tan(4)*(x - 5)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Differentiate $x - 5$ term by term:
  1. Apply the power rule: $x$ goes to $1$
  2. The derivative of the constant $-5$ is zero.
  The result is: $1$
So, the result is: $\tan{\left(4 \right)}$

The answer is:

$\tan{\left(4 \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

tan(4)

$$\tan{\left(4 \right)}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify