Explained: "Find the derivatives of the functions y=3−0.7x3+0.3x7" - Plainmath

tbbfiladelfia6l

Answered question

2021-11-26

Find the derivatives of the functions

y = 3 - 0.7 x^{3} + 0.3 x^{7}

Answer & Explanation

Liek1993

Beginner2021-11-27Added 13 answers

Step 1
Given:

y = 3 - 0.7 x^{3} + 0.3 x^{7}

Step 2
Calculation:

y = 3 - 0.7 x^{3} + 0.3 x^{7}

\frac{d y}{d x} = \frac{d}{d x} (3 - 0.7 x^{3} + 0.3 x^{7})

\frac{d y}{d x} = \frac{d}{d x} (3) - \frac{d}{d x} (0.7 x^{3}) + \frac{d}{d x} (0.3 x^{7})

\frac{d y}{d x} = 0 - 0.7 \times 3 x^{2} + 0.3 \times 7 x^{6}

\frac{d y}{d x} = - 2.1 x^{2} + 2.1 x^{6}

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Differential Calculus

What is the Mixed Derivative Theorem for mixed second-order partial derivatives? How can it help in calculating partial derivatives of second and higher orders?
How do I find the y-intercept of a parabola?
What are the vertices of $9 x^{2} + 16 y^{2} = 144$ ?
How to determine the rate of change of a function?
Why are the tangents for 90 and 270 degrees undefined?
How to find the center and radius of the circle $x^{2} + y^{2} - 6 x + 8 y = 0$ ?
What is multiplicative inverse of a number?
How to find the continuity of a function on a closed interval?
How do I find the tangent line of a function?
How to find vertical asymptotes using limits?
How to find the center and radius of the circle $x^{2} - 12 x + y^{2} + 4 y + 15 = 0$ ?
Let f be a function so that (below). Which must be true?
I. f is continuous at x=2
II. f is differentiable at x=2
III. The derivative of f is continuous at x=2
(A) I (B) II (C) I and II (D) I and III (E) II and III
How to find the center and radius of the circle given $x^{2} + y^{2} + 8 x - 6 y = 0$ ?
How to find the center and radius of the circle $x^{2} + y^{2} + 4 x - 8 y + 4 = 0$ ?
How to identify the center and radius of the circle ${(x + 3)}^{2} + {(y - 8)}^{2} = 16$ ?

Didn't find what you were looking for?