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The derivative of the function/ 15-7^x

Derivative of 15-7^x

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

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The solution

You have entered [src] 
      x
15 - 7
15−7x15 - 7^{x} 
15 - 7^x
Detail solution

  1. Differentiate 15−7x15 - 7^{x} term by term:

    1. The derivative of the constant 1515 is zero.

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

      1. ddx7x=7xlog⁡(7)\frac{d}{d x} 7^{x} = 7^{x} \log{\left(7 \right)}

      So, the result is: −7xlog⁡(7)- 7^{x} \log{\left(7 \right)}

    The result is: −7xlog⁡(7)- 7^{x} \log{\left(7 \right)}

The answer is:

−7xlog⁡(7)- 7^{x} \log{\left(7 \right)}

The graph
02468-8-6-4-2-1010-1000000000500000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  x       
-7 *log(7)
−7xlog⁡(7)- 7^{x} \log{\left(7 \right)}
Simplify
The second derivative [src] 
  x    2   
-7 *log (7)
−7xlog⁡(7)2- 7^{x} \log{\left(7 \right)}^{2}
Simplify
The third derivative [src] 
  x    3   
-7 *log (7)
−7xlog⁡(7)3- 7^{x} \log{\left(7 \right)}^{3}
Simplify
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