Question

ou are given the following function. f(x) = 1/10 x − 1/4 (a) find the derivative of the function using the definition of derivative.

Answer 1

f'(x) = 1/10

Explanation:

You want the derivative of the function f(x) = 1/10x -1/4.

Derivative

The derivative is the limit ...

`\displaystyle f'(x)=\lim_(h\to0){(f(x+h)-f(x))/(h)}\\\\\\f'(x)=\lim_(h\to0){(\left((1)/(10)(x+h)-(1)/(4)\right)-\left((1)/(10)(x)-(1)/(4)\right))/(h)}\\\\\\f'(x)=\lim_(h\to0){((1)/(10)h)/(h)}\\\\\\\boxed{f'(x)=(1)/(10)}`

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