"Find the derivatives of the function. f(t)=−2t2+3t−6" was answered by our experts

College
Calculus and Analysis
Differential Calculus
Derivatives

texelaare

Answered question

2021-11-10

Find the derivatives of the function.

f (t) = - 2 t^{2} + 3 t - 6

Answer & Explanation

BleabyinfibiaG

Skilled2021-11-11Added 118 answers

To find the derivatives of the following function.
$f (t) = - 2 t^{2} + 3 t - 6$
We use the following formula
$d (x^{n}) = n x^{n - 1} d x$
d(x)=1dx
d(constant)=0
$f (t) = - 2 t^{2} + 3 t - 6$
Differentiating f with respect to t,
$f^{'} (t) = - 2 (2) t^{2 - 1} + 3 (1) - 0$
=-4t+3
=3-4t

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?