Question: "Derivatives of the sum of functions Find the..."

Marvin Mccormick

Answered question

2021-02-16

Derivatives of the sum of functions Find the derivative of the following functions.

g (x) = 6 x^{5} - x

delilnaT

Skilled2021-02-18Added 94 answers

Step 1
We have to find the derivatives of following function:
We know the formula of derivatives,

\frac{{d x}^{n}}{d x} = n x^{n - 1}

(power rule)

\frac{d a x^{n}}{d x} = a \frac{{d x}^{n}}{d x}

(where a is some constant)

\frac{d x}{d x} = 1

\frac{d (c o n s \tan t)}{d x} = 0

\frac{d f (x)}{d x} = f^{'} (x)

\frac{d g (x)}{d x} = g^{'} (x)

Applying above formulae for the given functions:
Differentiating the given function with respect to 'x', we get

\frac{d g (x)}{d x} = \frac{d (6 x^{5} - x)}{d x}

g^{'} (x) = 6 \frac{{d x}^{5}}{d x} - \frac{d x}{d x}

= 6 (5 x^{5 - 1}) - 1

= 30 x^{4} - 1

Hence, derivative of the function is

30 x^{4} - 1

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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