Solve Differentiation by Outcome

Introduction to solve differentiation by outcome:
Differentiation is one of the methods mostly used in calculus problems. A derivative of the function is called as differentiation process. Differentiation is used to find how the function changes as its input changes. It is used to for mention the quality of the function. In differentiation exam, we use different formulas. Trigonometric functions also used in differentiation process. I like to share this Define Differentiation with you all through my article.

Example Problems for Solve Differentiation by Outcome

Solve differentiation by outcome example problem 1:

Find the first derivative value of the given function g(y) = 16y2 - 6y

Solution:

Given function is g(y) = 16y2 - 6y

Differentiate the given function with respect to y, we get

g'(y) = 32y - 6y

Answer:

The outcome of the given function is 32y - 6y

Solve differentiation by outcome example problem 2:

Differentiate the given function f(x) = (sinx + 12tanx)

Solution:

Given function is f(x) = (sinx + 12tanx)

Differentiate the given function with respect to y, we get

f'(x) = (cosx + 12sec2x)

Answer:

The outcome of the given function is (cosx + 12sec2x)

Solve differentiation by outcome example problem 3:

Differentiate the function y = (14x + 3) (x + 3)

Solution:

Given function is y = (14x + 3) (x + 3)

Using uv formula,

(d / dx) (uv) = u (dv /dx) + v (du / dx)

Here, u = (14x + 3), v = (x + 3)

(dy / dx) = (14x + 3) * (d / dx) (x + 3) + (x + 3) * (d / dx) (14x + 3)

= (14x + 3) * 1 + (x + 3) * 14

Multiply the values and then add, we get

= 14x + 3 + 14x + 42

= 28x + 45

Answer:

The outcome of the given function is 28x + 45

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P Practice Problems for Solve Differentiation by Outcome

Solve differentiation by outcome practice problem 1:

Find the first derivative value of the given function g(x) = 12x16 + 6x15 dx

Answer:

The outcome of the given function is 192x15 + 90x14

Solve differentiation by outcome practice problem 1:

Differentiate the function y = (78x) (x + 1)

Answer:

The outcome of the given function is 156x + 78