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Let us learn Calculus:

Example Problem 1:

Find the derivative of f(x) = 7 ^x + 4x ²

Solution: for free calculus problems

Let g(x) = 7 ^x and h(x) = 4x ²,

Function f is the sum of function g and function h:

f(x) = g(x) + h(x).

Use the sum rule, f '(x) = g '(x) + h '(x), to find the derivative of function f
f '(x) = 7 ^x ln 7 + 8x

Example Problem 2:

Find the derivative of f(x) = e ^{4x + 3,} also do you know calculus answers free

Solution:

Let u = 4x + 3 and y = e ^u,

Using the chain rule to find the derivative of function f as follows.
f '(x) = (dy / du) (du / dx)

dy / du = e ^u and du / dx = 4
f '(x) = (e ^u)(4) = 4 e ^u

Substitute u = 4x + 3 in f '(x) above f '(x) = 4 e ^{4x + 3}

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