Advertisements
Advertisements
प्रश्न
`d/dx(10^x) = x*10^(x - 1)`
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
`d/dx(10^x)` = 10x · log10
= 10x · 1
= 10x
APPEARS IN
संबंधित प्रश्न
if `y = tan^2(log x^3)`, find `(dy)/(dx)`
Find `dy/dx if x + sqrt(xy) + y = 1`
Find `"dy"/"dx"` if ex+y = cos(x – y)
Find the second order derivatives of the following : xx
Find `"dy"/"dx"` if, y = log(10x4 + 5x3 - 3x2 + 2)
Find `"dy"/"dx"` if, y = `"e"^(5"x"^2 - 2"x" + 4)`
Fill in the Blank
If 3x2y + 3xy2 = 0, then `"dy"/"dx"` = ________
The derivative of f(x) = ax, where a is constant is x.ax-1.
State whether the following is True or False:
The derivative of polynomial is polynomial.
Find `"dy"/"dx"`, if y = xx.
If x = cos−1(t), y = `sqrt(1 - "t"^2)` then `("d"y)/("d"x)` = ______
Given f(x) = `1/(x - 1)`. Find the points of discontinuity of the composite function y = f[f(x)]
Differentiate `sqrt(tansqrt(x))` w.r.t. x
If ax2 + 2hxy + by2 = 0, then prove that `(d^2y)/(dx^2)` = 0.
If y = em sin–1 x and (1 – x2) = Ay2, then A is equal to ______.
If y = f(u) is a differentiable function of u and u = g(x) is a differentiate function of x such that the composite function y = f[g(x)] is a differentiable function of x then prove that
`dy/dx = dy/(du) xx (du)/dx`
Hence find `dy/dx` if y = log(x2 + 5)
Find `dy/dx` if, y = `e^(5x^2-2x+4)`
Solve the following:
If y = `root(5)((3"x"^2 + 8"x" + 5)^4)`, find `"dy"/"dx"`
Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 12 + 10`x + 25x^2`
Find `dy/(dx)` if, y = `e^(5x^2 - 2x + 4)`
