Question

Find the derivatives of the functions.
i. f(x) = x8 ii. f(x) = x3 + sin x​

Answer 1

Answer:

1.]f'(x) = 8x^7 (8x to the power of 7)

{assuming your question was x to the power 8}

if your question was x8

f'(x) = 8

2.] assuming your question is x^3(x to the power of three) + sinx

f'(x) = 3x^2 + cos x

if your question was x3 + sinx

f'(x) = 3 + cos x

Explanation:

these are standard derivatives

d (x^n)/ dx = n x ^(n+1)

d(nx)/dx = n

d(sinx)/dx = cos x